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Finding the Fourth Proportional to 8,534.13, 11,780.33 and 5,741.25

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Solution

The fourth proportional to 8,534.13, 11,780.33 and 5,741.25 is: 7,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.13 : 11,780.33 = 5,741.25 : x
  2. Step 2: Convert to fraction form
    8,534.13/11,780.33 = 5,741.25/x
  3. Step 3: Cross multiply
    8,534.13x = 11,780.33 × 5,741.25
  4. Step 4: Simplify right side
    8,534.13x = 67,633,819.61
  5. Step 5: Solve for x
    x = 67,633,819.61/8,534.13
  6. Step 6: Final answer
    x = 7,925.10

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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.