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Finding the Fourth Proportional to 7,246.10, 10,869.15 and 6,410.90

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Solution

The fourth proportional to 7,246.10, 10,869.15 and 6,410.90 is: 9,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.10 : 10,869.15 = 6,410.90 : x
  2. Step 2: Convert to fraction form
    7,246.10/10,869.15 = 6,410.90/x
  3. Step 3: Cross multiply
    7,246.10x = 10,869.15 × 6,410.90
  4. Step 4: Simplify right side
    7,246.10x = 69,681,033.74
  5. Step 5: Solve for x
    x = 69,681,033.74/7,246.10
  6. Step 6: Final answer
    x = 9,616.35

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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.