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Finding the Fourth Proportional to 8,484.64, 11,710.20 and 4,947.85

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Solution

The fourth proportional to 8,484.64, 11,710.20 and 4,947.85 is: 6,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.64 : 11,710.20 = 4,947.85 : x
  2. Step 2: Convert to fraction form
    8,484.64/11,710.20 = 4,947.85/x
  3. Step 3: Cross multiply
    8,484.64x = 11,710.20 × 4,947.85
  4. Step 4: Simplify right side
    8,484.64x = 57,940,346.26
  5. Step 5: Solve for x
    x = 57,940,346.26/8,484.64
  6. Step 6: Final answer
    x = 6,828.85

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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.