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Finding the Fourth Proportional to 7,788.50, 11,665.15 and 5,458.87

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Solution

The fourth proportional to 7,788.50, 11,665.15 and 5,458.87 is: 8,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.50 : 11,665.15 = 5,458.87 : x
  2. Step 2: Convert to fraction form
    7,788.50/11,665.15 = 5,458.87/x
  3. Step 3: Cross multiply
    7,788.50x = 11,665.15 × 5,458.87
  4. Step 4: Simplify right side
    7,788.50x = 63,678,574.08
  5. Step 5: Solve for x
    x = 63,678,574.08/7,788.50
  6. Step 6: Final answer
    x = 8,175.98

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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.