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Finding the Fourth Proportional to 10,085.72, 15,120.37 and 7,904.18

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Solution

The fourth proportional to 10,085.72, 15,120.37 and 7,904.18 is: 11,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.72 : 15,120.37 = 7,904.18 : x
  2. Step 2: Convert to fraction form
    10,085.72/15,120.37 = 7,904.18/x
  3. Step 3: Cross multiply
    10,085.72x = 15,120.37 × 7,904.18
  4. Step 4: Simplify right side
    10,085.72x = 119,514,173.83
  5. Step 5: Solve for x
    x = 119,514,173.83/10,085.72
  6. Step 6: Final answer
    x = 11,849.85

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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.