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Finding the Fourth Proportional to 11,293.50, 15,585 and 6,257.74

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Solution

The fourth proportional to 11,293.50, 15,585 and 6,257.74 is: 8,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.50 : 15,585 = 6,257.74 : x
  2. Step 2: Convert to fraction form
    11,293.50/15,585 = 6,257.74/x
  3. Step 3: Cross multiply
    11,293.50x = 15,585 × 6,257.74
  4. Step 4: Simplify right side
    11,293.50x = 97,526,877.90
  5. Step 5: Solve for x
    x = 97,526,877.90/11,293.50
  6. Step 6: Final answer
    x = 8,635.66

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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.