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Finding the Fourth Proportional to 8,720.70, 12,034.32 and 4,741.68

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Solution

The fourth proportional to 8,720.70, 12,034.32 and 4,741.68 is: 6,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.70 : 12,034.32 = 4,741.68 : x
  2. Step 2: Convert to fraction form
    8,720.70/12,034.32 = 4,741.68/x
  3. Step 3: Cross multiply
    8,720.70x = 12,034.32 × 4,741.68
  4. Step 4: Simplify right side
    8,720.70x = 57,062,894.46
  5. Step 5: Solve for x
    x = 57,062,894.46/8,720.70
  6. Step 6: Final answer
    x = 6,543.38

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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.