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Finding the Fourth Proportional to 7,095.25, 10,644.90 and 2,416.29

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Solution

The fourth proportional to 7,095.25, 10,644.90 and 2,416.29 is: 3,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.25 : 10,644.90 = 2,416.29 : x
  2. Step 2: Convert to fraction form
    7,095.25/10,644.90 = 2,416.29/x
  3. Step 3: Cross multiply
    7,095.25x = 10,644.90 × 2,416.29
  4. Step 4: Simplify right side
    7,095.25x = 25,721,165.42
  5. Step 5: Solve for x
    x = 25,721,165.42/7,095.25
  6. Step 6: Final answer
    x = 3,625.12

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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.