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Finding the Fourth Proportional to 10,747.67, 14,817.65 and 7,384.28

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Solution

The fourth proportional to 10,747.67, 14,817.65 and 7,384.28 is: 10,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.67 : 14,817.65 = 7,384.28 : x
  2. Step 2: Convert to fraction form
    10,747.67/14,817.65 = 7,384.28/x
  3. Step 3: Cross multiply
    10,747.67x = 14,817.65 × 7,384.28
  4. Step 4: Simplify right side
    10,747.67x = 109,417,565.53
  5. Step 5: Solve for x
    x = 109,417,565.53/10,747.67
  6. Step 6: Final answer
    x = 10,180.59

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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.