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Finding the Fourth Proportional to 10,665.47, 14,720.54 and 6,683.72

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Solution

The fourth proportional to 10,665.47, 14,720.54 and 6,683.72 is: 9,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.47 : 14,720.54 = 6,683.72 : x
  2. Step 2: Convert to fraction form
    10,665.47/14,720.54 = 6,683.72/x
  3. Step 3: Cross multiply
    10,665.47x = 14,720.54 × 6,683.72
  4. Step 4: Simplify right side
    10,665.47x = 98,387,860.59
  5. Step 5: Solve for x
    x = 98,387,860.59/10,665.47
  6. Step 6: Final answer
    x = 9,224.89

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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.