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Finding the Fourth Proportional to 8,281.80, 12,423.78 and 4,386.42

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Solution

The fourth proportional to 8,281.80, 12,423.78 and 4,386.42 is: 6,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.80 : 12,423.78 = 4,386.42 : x
  2. Step 2: Convert to fraction form
    8,281.80/12,423.78 = 4,386.42/x
  3. Step 3: Cross multiply
    8,281.80x = 12,423.78 × 4,386.42
  4. Step 4: Simplify right side
    8,281.80x = 54,495,917.07
  5. Step 5: Solve for x
    x = 54,495,917.07/8,281.80
  6. Step 6: Final answer
    x = 6,580.20

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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.