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Finding the Fourth Proportional to 8,484.08, 11,710.71 and 4,947.95

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Solution

The fourth proportional to 8,484.08, 11,710.71 and 4,947.95 is: 6,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.08 : 11,710.71 = 4,947.95 : x
  2. Step 2: Convert to fraction form
    8,484.08/11,710.71 = 4,947.95/x
  3. Step 3: Cross multiply
    8,484.08x = 11,710.71 × 4,947.95
  4. Step 4: Simplify right side
    8,484.08x = 57,944,036.82
  5. Step 5: Solve for x
    x = 57,944,036.82/8,484.08
  6. Step 6: Final answer
    x = 6,829.74

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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.