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Finding the Fourth Proportional to 10,476.40, 15,695.16 and 7,007.44

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Solution

The fourth proportional to 10,476.40, 15,695.16 and 7,007.44 is: 10,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.40 : 15,695.16 = 7,007.44 : x
  2. Step 2: Convert to fraction form
    10,476.40/15,695.16 = 7,007.44/x
  3. Step 3: Cross multiply
    10,476.40x = 15,695.16 × 7,007.44
  4. Step 4: Simplify right side
    10,476.40x = 109,982,891.99
  5. Step 5: Solve for x
    x = 109,982,891.99/10,476.40
  6. Step 6: Final answer
    x = 10,498.16

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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.