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Finding the Fourth Proportional to 10,147.16, 15,223.80 and 3,907.76

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Solution

The fourth proportional to 10,147.16, 15,223.80 and 3,907.76 is: 5,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.16 : 15,223.80 = 3,907.76 : x
  2. Step 2: Convert to fraction form
    10,147.16/15,223.80 = 3,907.76/x
  3. Step 3: Cross multiply
    10,147.16x = 15,223.80 × 3,907.76
  4. Step 4: Simplify right side
    10,147.16x = 59,490,956.69
  5. Step 5: Solve for x
    x = 59,490,956.69/10,147.16
  6. Step 6: Final answer
    x = 5,862.82

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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.