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Finding the Fourth Proportional to 7,112.87, 10,666.57 and 3,416.84

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Solution

The fourth proportional to 7,112.87, 10,666.57 and 3,416.84 is: 5,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.87 : 10,666.57 = 3,416.84 : x
  2. Step 2: Convert to fraction form
    7,112.87/10,666.57 = 3,416.84/x
  3. Step 3: Cross multiply
    7,112.87x = 10,666.57 × 3,416.84
  4. Step 4: Simplify right side
    7,112.87x = 36,445,963.04
  5. Step 5: Solve for x
    x = 36,445,963.04/7,112.87
  6. Step 6: Final answer
    x = 5,123.95

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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.