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Finding the Fourth Proportional to 10,907.20, 15,051.72 and 6,431.14

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Solution

The fourth proportional to 10,907.20, 15,051.72 and 6,431.14 is: 8,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.20 : 15,051.72 = 6,431.14 : x
  2. Step 2: Convert to fraction form
    10,907.20/15,051.72 = 6,431.14/x
  3. Step 3: Cross multiply
    10,907.20x = 15,051.72 × 6,431.14
  4. Step 4: Simplify right side
    10,907.20x = 96,799,718.56
  5. Step 5: Solve for x
    x = 96,799,718.56/10,907.20
  6. Step 6: Final answer
    x = 8,874.85

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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.