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Finding the Fourth Proportional to 7,909.36, 10,916 and 4,552.10

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Solution

The fourth proportional to 7,909.36, 10,916 and 4,552.10 is: 6,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.36 : 10,916 = 4,552.10 : x
  2. Step 2: Convert to fraction form
    7,909.36/10,916 = 4,552.10/x
  3. Step 3: Cross multiply
    7,909.36x = 10,916 × 4,552.10
  4. Step 4: Simplify right side
    7,909.36x = 49,690,723.60
  5. Step 5: Solve for x
    x = 49,690,723.60/7,909.36
  6. Step 6: Final answer
    x = 6,282.52

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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.