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Finding the Fourth Proportional to 10,595.28, 15,875.64 and 5,394

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Solution

The fourth proportional to 10,595.28, 15,875.64 and 5,394 is: 8,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.28 : 15,875.64 = 5,394 : x
  2. Step 2: Convert to fraction form
    10,595.28/15,875.64 = 5,394/x
  3. Step 3: Cross multiply
    10,595.28x = 15,875.64 × 5,394
  4. Step 4: Simplify right side
    10,595.28x = 85,633,202.16
  5. Step 5: Solve for x
    x = 85,633,202.16/10,595.28
  6. Step 6: Final answer
    x = 8,082.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.