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Finding the Fourth Proportional to 7,901.28, 11,853.20 and 2,428

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Solution

The fourth proportional to 7,901.28, 11,853.20 and 2,428 is: 3,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.28 : 11,853.20 = 2,428 : x
  2. Step 2: Convert to fraction form
    7,901.28/11,853.20 = 2,428/x
  3. Step 3: Cross multiply
    7,901.28x = 11,853.20 × 2,428
  4. Step 4: Simplify right side
    7,901.28x = 28,779,569.60
  5. Step 5: Solve for x
    x = 28,779,569.60/7,901.28
  6. Step 6: Final answer
    x = 3,642.39

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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.