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Finding the Fourth Proportional to 8,711.67, 12,024.06 and 5,357.40

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Solution

The fourth proportional to 8,711.67, 12,024.06 and 5,357.40 is: 7,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.67 : 12,024.06 = 5,357.40 : x
  2. Step 2: Convert to fraction form
    8,711.67/12,024.06 = 5,357.40/x
  3. Step 3: Cross multiply
    8,711.67x = 12,024.06 × 5,357.40
  4. Step 4: Simplify right side
    8,711.67x = 64,417,699.04
  5. Step 5: Solve for x
    x = 64,417,699.04/8,711.67
  6. Step 6: Final answer
    x = 7,394.41

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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.