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Finding the Fourth Proportional to 8,380.29, 11,562.72 and 4,746.40

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Solution

The fourth proportional to 8,380.29, 11,562.72 and 4,746.40 is: 6,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.29 : 11,562.72 = 4,746.40 : x
  2. Step 2: Convert to fraction form
    8,380.29/11,562.72 = 4,746.40/x
  3. Step 3: Cross multiply
    8,380.29x = 11,562.72 × 4,746.40
  4. Step 4: Simplify right side
    8,380.29x = 54,881,294.21
  5. Step 5: Solve for x
    x = 54,881,294.21/8,380.29
  6. Step 6: Final answer
    x = 6,548.85

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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.