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Finding the Fourth Proportional to 10,917.90, 15,066.69 and 6,442.65

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Solution

The fourth proportional to 10,917.90, 15,066.69 and 6,442.65 is: 8,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.90 : 15,066.69 = 6,442.65 : x
  2. Step 2: Convert to fraction form
    10,917.90/15,066.69 = 6,442.65/x
  3. Step 3: Cross multiply
    10,917.90x = 15,066.69 × 6,442.65
  4. Step 4: Simplify right side
    10,917.90x = 97,069,410.33
  5. Step 5: Solve for x
    x = 97,069,410.33/10,917.90
  6. Step 6: Final answer
    x = 8,890.85

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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.