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Finding the Fourth Proportional to 10,356.59, 15,523.70 and 5,085.47

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Solution

The fourth proportional to 10,356.59, 15,523.70 and 5,085.47 is: 7,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.59 : 15,523.70 = 5,085.47 : x
  2. Step 2: Convert to fraction form
    10,356.59/15,523.70 = 5,085.47/x
  3. Step 3: Cross multiply
    10,356.59x = 15,523.70 × 5,085.47
  4. Step 4: Simplify right side
    10,356.59x = 78,945,233.02
  5. Step 5: Solve for x
    x = 78,945,233.02/10,356.59
  6. Step 6: Final answer
    x = 7,622.71

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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.