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Finding the Fourth Proportional to 7,618.48, 10,509 and 4,631.92

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Solution

The fourth proportional to 7,618.48, 10,509 and 4,631.92 is: 6,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.48 : 10,509 = 4,631.92 : x
  2. Step 2: Convert to fraction form
    7,618.48/10,509 = 4,631.92/x
  3. Step 3: Cross multiply
    7,618.48x = 10,509 × 4,631.92
  4. Step 4: Simplify right side
    7,618.48x = 48,676,847.28
  5. Step 5: Solve for x
    x = 48,676,847.28/7,618.48
  6. Step 6: Final answer
    x = 6,389.31

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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.