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Finding the Fourth Proportional to 7,440, 10,286.40 and 7,113.60

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Solution

The fourth proportional to 7,440, 10,286.40 and 7,113.60 is: 9,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440 : 10,286.40 = 7,113.60 : x
  2. Step 2: Convert to fraction form
    7,440/10,286.40 = 7,113.60/x
  3. Step 3: Cross multiply
    7,440x = 10,286.40 × 7,113.60
  4. Step 4: Simplify right side
    7,440x = 73,173,335.04
  5. Step 5: Solve for x
    x = 73,173,335.04/7,440
  6. Step 6: Final answer
    x = 9,835.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.