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Finding the Fourth Proportional to 8,269.16, 11,411.62 and 4,543.40

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Solution

The fourth proportional to 8,269.16, 11,411.62 and 4,543.40 is: 6,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.16 : 11,411.62 = 4,543.40 : x
  2. Step 2: Convert to fraction form
    8,269.16/11,411.62 = 4,543.40/x
  3. Step 3: Cross multiply
    8,269.16x = 11,411.62 × 4,543.40
  4. Step 4: Simplify right side
    8,269.16x = 51,847,554.31
  5. Step 5: Solve for x
    x = 51,847,554.31/8,269.16
  6. Step 6: Final answer
    x = 6,269.99

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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.