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Finding the Fourth Proportional to 8,477.40, 12,711.78 and 3,284.76

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Solution

The fourth proportional to 8,477.40, 12,711.78 and 3,284.76 is: 4,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.40 : 12,711.78 = 3,284.76 : x
  2. Step 2: Convert to fraction form
    8,477.40/12,711.78 = 3,284.76/x
  3. Step 3: Cross multiply
    8,477.40x = 12,711.78 × 3,284.76
  4. Step 4: Simplify right side
    8,477.40x = 41,755,146.47
  5. Step 5: Solve for x
    x = 41,755,146.47/8,477.40
  6. Step 6: Final answer
    x = 4,925.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.