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Finding the Fourth Proportional to 10,588.35, 15,882.53 and 9,940.35

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Solution

The fourth proportional to 10,588.35, 15,882.53 and 9,940.35 is: 14,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.35 : 15,882.53 = 9,940.35 : x
  2. Step 2: Convert to fraction form
    10,588.35/15,882.53 = 9,940.35/x
  3. Step 3: Cross multiply
    10,588.35x = 15,882.53 × 9,940.35
  4. Step 4: Simplify right side
    10,588.35x = 157,877,857.38
  5. Step 5: Solve for x
    x = 157,877,857.38/10,588.35
  6. Step 6: Final answer
    x = 14,910.53

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