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Finding the Fourth Proportional to 10,078.76, 15,122.20 and 4,528.38

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Solution

The fourth proportional to 10,078.76, 15,122.20 and 4,528.38 is: 6,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.76 : 15,122.20 = 4,528.38 : x
  2. Step 2: Convert to fraction form
    10,078.76/15,122.20 = 4,528.38/x
  3. Step 3: Cross multiply
    10,078.76x = 15,122.20 × 4,528.38
  4. Step 4: Simplify right side
    10,078.76x = 68,479,068.04
  5. Step 5: Solve for x
    x = 68,479,068.04/10,078.76
  6. Step 6: Final answer
    x = 6,794.39

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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.