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Finding the Fourth Proportional to 7,928.60, 10,916.57 and 6,731.10

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Solution

The fourth proportional to 7,928.60, 10,916.57 and 6,731.10 is: 9,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.60 : 10,916.57 = 6,731.10 : x
  2. Step 2: Convert to fraction form
    7,928.60/10,916.57 = 6,731.10/x
  3. Step 3: Cross multiply
    7,928.60x = 10,916.57 × 6,731.10
  4. Step 4: Simplify right side
    7,928.60x = 73,480,490.67
  5. Step 5: Solve for x
    x = 73,480,490.67/7,928.60
  6. Step 6: Final answer
    x = 9,267.78

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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.