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Finding the Fourth Proportional to 10,543.69, 14,562.24 and 7,180.66

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Solution

The fourth proportional to 10,543.69, 14,562.24 and 7,180.66 is: 9,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.69 : 14,562.24 = 7,180.66 : x
  2. Step 2: Convert to fraction form
    10,543.69/14,562.24 = 7,180.66/x
  3. Step 3: Cross multiply
    10,543.69x = 14,562.24 × 7,180.66
  4. Step 4: Simplify right side
    10,543.69x = 104,566,421.47
  5. Step 5: Solve for x
    x = 104,566,421.47/10,543.69
  6. Step 6: Final answer
    x = 9,917.45

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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.