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Finding the Fourth Proportional to 10,176.18, 15,292.94 and 6,018.14

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Solution

The fourth proportional to 10,176.18, 15,292.94 and 6,018.14 is: 9,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.18 : 15,292.94 = 6,018.14 : x
  2. Step 2: Convert to fraction form
    10,176.18/15,292.94 = 6,018.14/x
  3. Step 3: Cross multiply
    10,176.18x = 15,292.94 × 6,018.14
  4. Step 4: Simplify right side
    10,176.18x = 92,034,947.38
  5. Step 5: Solve for x
    x = 92,034,947.38/10,176.18
  6. Step 6: Final answer
    x = 9,044.15

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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.