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Finding the Fourth Proportional to 10,298.34, 15,452.12 and 4,748.72

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Solution

The fourth proportional to 10,298.34, 15,452.12 and 4,748.72 is: 7,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.34 : 15,452.12 = 4,748.72 : x
  2. Step 2: Convert to fraction form
    10,298.34/15,452.12 = 4,748.72/x
  3. Step 3: Cross multiply
    10,298.34x = 15,452.12 × 4,748.72
  4. Step 4: Simplify right side
    10,298.34x = 73,377,690.28
  5. Step 5: Solve for x
    x = 73,377,690.28/10,298.34
  6. Step 6: Final answer
    x = 7,125.20

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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.