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Finding the Fourth Proportional to 10,337.86, 14,266.53 and 6,356.71

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Solution

The fourth proportional to 10,337.86, 14,266.53 and 6,356.71 is: 8,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.86 : 14,266.53 = 6,356.71 : x
  2. Step 2: Convert to fraction form
    10,337.86/14,266.53 = 6,356.71/x
  3. Step 3: Cross multiply
    10,337.86x = 14,266.53 × 6,356.71
  4. Step 4: Simplify right side
    10,337.86x = 90,688,193.92
  5. Step 5: Solve for x
    x = 90,688,193.92/10,337.86
  6. Step 6: Final answer
    x = 8,772.43

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