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Finding the Fourth Proportional to 8,720.30, 12,034.32 and 4,741.76

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Solution

The fourth proportional to 8,720.30, 12,034.32 and 4,741.76 is: 6,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.30 : 12,034.32 = 4,741.76 : x
  2. Step 2: Convert to fraction form
    8,720.30/12,034.32 = 4,741.76/x
  3. Step 3: Cross multiply
    8,720.30x = 12,034.32 × 4,741.76
  4. Step 4: Simplify right side
    8,720.30x = 57,063,857.20
  5. Step 5: Solve for x
    x = 57,063,857.20/8,720.30
  6. Step 6: Final answer
    x = 6,543.80

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