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Finding the Fourth Proportional to 10,304.40, 15,440.10 and 10,031.04

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Solution

The fourth proportional to 10,304.40, 15,440.10 and 10,031.04 is: 15,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.40 : 15,440.10 = 10,031.04 : x
  2. Step 2: Convert to fraction form
    10,304.40/15,440.10 = 10,031.04/x
  3. Step 3: Cross multiply
    10,304.40x = 15,440.10 × 10,031.04
  4. Step 4: Simplify right side
    10,304.40x = 154,880,260.70
  5. Step 5: Solve for x
    x = 154,880,260.70/10,304.40
  6. Step 6: Final answer
    x = 15,030.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.