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Finding the Fourth Proportional to 8,342.90, 11,513.53 and 4,565.85

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Solution

The fourth proportional to 8,342.90, 11,513.53 and 4,565.85 is: 6,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.90 : 11,513.53 = 4,565.85 : x
  2. Step 2: Convert to fraction form
    8,342.90/11,513.53 = 4,565.85/x
  3. Step 3: Cross multiply
    8,342.90x = 11,513.53 × 4,565.85
  4. Step 4: Simplify right side
    8,342.90x = 52,569,050.95
  5. Step 5: Solve for x
    x = 52,569,050.95/8,342.90
  6. Step 6: Final answer
    x = 6,301.05

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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.