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Finding the Fourth Proportional to 7,468.60, 11,193.66 and 6,545.94

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Solution

The fourth proportional to 7,468.60, 11,193.66 and 6,545.94 is: 9,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.60 : 11,193.66 = 6,545.94 : x
  2. Step 2: Convert to fraction form
    7,468.60/11,193.66 = 6,545.94/x
  3. Step 3: Cross multiply
    7,468.60x = 11,193.66 × 6,545.94
  4. Step 4: Simplify right side
    7,468.60x = 73,273,026.74
  5. Step 5: Solve for x
    x = 73,273,026.74/7,468.60
  6. Step 6: Final answer
    x = 9,810.81

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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.