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Finding the Fourth Proportional to 8,070.84, 11,135.64 and 4,711.68

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Solution

The fourth proportional to 8,070.84, 11,135.64 and 4,711.68 is: 6,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.84 : 11,135.64 = 4,711.68 : x
  2. Step 2: Convert to fraction form
    8,070.84/11,135.64 = 4,711.68/x
  3. Step 3: Cross multiply
    8,070.84x = 11,135.64 × 4,711.68
  4. Step 4: Simplify right side
    8,070.84x = 52,467,572.28
  5. Step 5: Solve for x
    x = 52,467,572.28/8,070.84
  6. Step 6: Final answer
    x = 6,500.88

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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.