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Finding the Fourth Proportional to 10,254.72, 15,386.40 and 6,102.72

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Solution

The fourth proportional to 10,254.72, 15,386.40 and 6,102.72 is: 9,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.72 : 15,386.40 = 6,102.72 : x
  2. Step 2: Convert to fraction form
    10,254.72/15,386.40 = 6,102.72/x
  3. Step 3: Cross multiply
    10,254.72x = 15,386.40 × 6,102.72
  4. Step 4: Simplify right side
    10,254.72x = 93,898,891.01
  5. Step 5: Solve for x
    x = 93,898,891.01/10,254.72
  6. Step 6: Final answer
    x = 9,156.65

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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.