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Finding the Fourth Proportional to 10,553.81, 14,567.13 and 6,572.57

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Solution

The fourth proportional to 10,553.81, 14,567.13 and 6,572.57 is: 9,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.81 : 14,567.13 = 6,572.57 : x
  2. Step 2: Convert to fraction form
    10,553.81/14,567.13 = 6,572.57/x
  3. Step 3: Cross multiply
    10,553.81x = 14,567.13 × 6,572.57
  4. Step 4: Simplify right side
    10,553.81x = 95,743,481.62
  5. Step 5: Solve for x
    x = 95,743,481.62/10,553.81
  6. Step 6: Final answer
    x = 9,071.94

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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.