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Finding the Fourth Proportional to 7,060.74, 9,742.17 and 4,543.68

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Solution

The fourth proportional to 7,060.74, 9,742.17 and 4,543.68 is: 6,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.74 : 9,742.17 = 4,543.68 : x
  2. Step 2: Convert to fraction form
    7,060.74/9,742.17 = 4,543.68/x
  3. Step 3: Cross multiply
    7,060.74x = 9,742.17 × 4,543.68
  4. Step 4: Simplify right side
    7,060.74x = 44,265,302.99
  5. Step 5: Solve for x
    x = 44,265,302.99/7,060.74
  6. Step 6: Final answer
    x = 6,269.22

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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.