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Finding the Fourth Proportional to 10,073.34, 15,102.57 and 5,393.18

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Solution

The fourth proportional to 10,073.34, 15,102.57 and 5,393.18 is: 8,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.34 : 15,102.57 = 5,393.18 : x
  2. Step 2: Convert to fraction form
    10,073.34/15,102.57 = 5,393.18/x
  3. Step 3: Cross multiply
    10,073.34x = 15,102.57 × 5,393.18
  4. Step 4: Simplify right side
    10,073.34x = 81,450,878.47
  5. Step 5: Solve for x
    x = 81,450,878.47/10,073.34
  6. Step 6: Final answer
    x = 8,085.79

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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.