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Finding the Fourth Proportional to 10,078.84, 15,102.88 and 4,232.28

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Solution

The fourth proportional to 10,078.84, 15,102.88 and 4,232.28 is: 6,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.84 : 15,102.88 = 4,232.28 : x
  2. Step 2: Convert to fraction form
    10,078.84/15,102.88 = 4,232.28/x
  3. Step 3: Cross multiply
    10,078.84x = 15,102.88 × 4,232.28
  4. Step 4: Simplify right side
    10,078.84x = 63,919,616.97
  5. Step 5: Solve for x
    x = 63,919,616.97/10,078.84
  6. Step 6: Final answer
    x = 6,341.96

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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.