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Finding the Fourth Proportional to 27,132.85, 40,698.87 and 7,411.35

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Solution

The fourth proportional to 27,132.85, 40,698.87 and 7,411.35 is: 11,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.85 : 40,698.87 = 7,411.35 : x
  2. Step 2: Convert to fraction form
    27,132.85/40,698.87 = 7,411.35/x
  3. Step 3: Cross multiply
    27,132.85x = 40,698.87 × 7,411.35
  4. Step 4: Simplify right side
    27,132.85x = 301,633,570.17
  5. Step 5: Solve for x
    x = 301,633,570.17/27,132.85
  6. Step 6: Final answer
    x = 11,116.91

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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.