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Finding the Fourth Proportional to 8,397.40, 11,586.31 and 5,409.63

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Solution

The fourth proportional to 8,397.40, 11,586.31 and 5,409.63 is: 7,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.40 : 11,586.31 = 5,409.63 : x
  2. Step 2: Convert to fraction form
    8,397.40/11,586.31 = 5,409.63/x
  3. Step 3: Cross multiply
    8,397.40x = 11,586.31 × 5,409.63
  4. Step 4: Simplify right side
    8,397.40x = 62,677,650.17
  5. Step 5: Solve for x
    x = 62,677,650.17/8,397.40
  6. Step 6: Final answer
    x = 7,463.94

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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.