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Finding the Fourth Proportional to 8,484.56, 11,710.92 and 4,759.76

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Solution

The fourth proportional to 8,484.56, 11,710.92 and 4,759.76 is: 6,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.56 : 11,710.92 = 4,759.76 : x
  2. Step 2: Convert to fraction form
    8,484.56/11,710.92 = 4,759.76/x
  3. Step 3: Cross multiply
    8,484.56x = 11,710.92 × 4,759.76
  4. Step 4: Simplify right side
    8,484.56x = 55,741,168.58
  5. Step 5: Solve for x
    x = 55,741,168.58/8,484.56
  6. Step 6: Final answer
    x = 6,569.72

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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.