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Finding the Fourth Proportional to 10,588.65, 15,901.20 and 7,490.40

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Solution

The fourth proportional to 10,588.65, 15,901.20 and 7,490.40 is: 11,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.65 : 15,901.20 = 7,490.40 : x
  2. Step 2: Convert to fraction form
    10,588.65/15,901.20 = 7,490.40/x
  3. Step 3: Cross multiply
    10,588.65x = 15,901.20 × 7,490.40
  4. Step 4: Simplify right side
    10,588.65x = 119,106,348.48
  5. Step 5: Solve for x
    x = 119,106,348.48/10,588.65
  6. Step 6: Final answer
    x = 11,248.49

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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.