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Finding the Fourth Proportional to 8,242.29, 11,376.15 and 5,374.62

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Solution

The fourth proportional to 8,242.29, 11,376.15 and 5,374.62 is: 7,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.29 : 11,376.15 = 5,374.62 : x
  2. Step 2: Convert to fraction form
    8,242.29/11,376.15 = 5,374.62/x
  3. Step 3: Cross multiply
    8,242.29x = 11,376.15 × 5,374.62
  4. Step 4: Simplify right side
    8,242.29x = 61,142,483.31
  5. Step 5: Solve for x
    x = 61,142,483.31/8,242.29
  6. Step 6: Final answer
    x = 7,418.14

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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.