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Finding the Fourth Proportional to 7,060.56, 9,742.92 and 3,916.56

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Solution

The fourth proportional to 7,060.56, 9,742.92 and 3,916.56 is: 5,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.56 : 9,742.92 = 3,916.56 : x
  2. Step 2: Convert to fraction form
    7,060.56/9,742.92 = 3,916.56/x
  3. Step 3: Cross multiply
    7,060.56x = 9,742.92 × 3,916.56
  4. Step 4: Simplify right side
    7,060.56x = 38,158,730.76
  5. Step 5: Solve for x
    x = 38,158,730.76/7,060.56
  6. Step 6: Final answer
    x = 5,404.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.