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Finding the Fourth Proportional to 10,099.78, 15,151.74 and 4,256.40

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Solution

The fourth proportional to 10,099.78, 15,151.74 and 4,256.40 is: 6,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.78 : 15,151.74 = 4,256.40 : x
  2. Step 2: Convert to fraction form
    10,099.78/15,151.74 = 4,256.40/x
  3. Step 3: Cross multiply
    10,099.78x = 15,151.74 × 4,256.40
  4. Step 4: Simplify right side
    10,099.78x = 64,491,866.14
  5. Step 5: Solve for x
    x = 64,491,866.14/10,099.78
  6. Step 6: Final answer
    x = 6,385.47

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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.