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Finding the Fourth Proportional to 10,098.65, 15,146.15 and 3,076.98

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Solution

The fourth proportional to 10,098.65, 15,146.15 and 3,076.98 is: 4,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.65 : 15,146.15 = 3,076.98 : x
  2. Step 2: Convert to fraction form
    10,098.65/15,146.15 = 3,076.98/x
  3. Step 3: Cross multiply
    10,098.65x = 15,146.15 × 3,076.98
  4. Step 4: Simplify right side
    10,098.65x = 46,604,385.24
  5. Step 5: Solve for x
    x = 46,604,385.24/10,098.65
  6. Step 6: Final answer
    x = 4,614.91

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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.