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Finding the Fourth Proportional to 10,545.74, 14,565.09 and 7,182.73

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Solution

The fourth proportional to 10,545.74, 14,565.09 and 7,182.73 is: 9,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.74 : 14,565.09 = 7,182.73 : x
  2. Step 2: Convert to fraction form
    10,545.74/14,565.09 = 7,182.73/x
  3. Step 3: Cross multiply
    10,545.74x = 14,565.09 × 7,182.73
  4. Step 4: Simplify right side
    10,545.74x = 104,617,051.91
  5. Step 5: Solve for x
    x = 104,617,051.91/10,545.74
  6. Step 6: Final answer
    x = 9,920.31

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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.