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Finding the Fourth Proportional to 8,543.84, 12,818.30 and 4,386.78

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Solution

The fourth proportional to 8,543.84, 12,818.30 and 4,386.78 is: 6,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.84 : 12,818.30 = 4,386.78 : x
  2. Step 2: Convert to fraction form
    8,543.84/12,818.30 = 4,386.78/x
  3. Step 3: Cross multiply
    8,543.84x = 12,818.30 × 4,386.78
  4. Step 4: Simplify right side
    8,543.84x = 56,231,040.14
  5. Step 5: Solve for x
    x = 56,231,040.14/8,543.84
  6. Step 6: Final answer
    x = 6,581.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.