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Finding the Fourth Proportional to 10,545.66, 15,838.98 and 7,761.33

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Solution

The fourth proportional to 10,545.66, 15,838.98 and 7,761.33 is: 11,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.66 : 15,838.98 = 7,761.33 : x
  2. Step 2: Convert to fraction form
    10,545.66/15,838.98 = 7,761.33/x
  3. Step 3: Cross multiply
    10,545.66x = 15,838.98 × 7,761.33
  4. Step 4: Simplify right side
    10,545.66x = 122,931,550.64
  5. Step 5: Solve for x
    x = 122,931,550.64/10,545.66
  6. Step 6: Final answer
    x = 11,657.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.