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Finding the Fourth Proportional to 10,292.02, 15,442.65 and 4,742.40

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Solution

The fourth proportional to 10,292.02, 15,442.65 and 4,742.40 is: 7,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.02 : 15,442.65 = 4,742.40 : x
  2. Step 2: Convert to fraction form
    10,292.02/15,442.65 = 4,742.40/x
  3. Step 3: Cross multiply
    10,292.02x = 15,442.65 × 4,742.40
  4. Step 4: Simplify right side
    10,292.02x = 73,235,122.43
  5. Step 5: Solve for x
    x = 73,235,122.43/10,292.02
  6. Step 6: Final answer
    x = 7,115.72

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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.