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Finding the Fourth Proportional to 8,251.30, 12,365.72 and 4,547.98

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Solution

The fourth proportional to 8,251.30, 12,365.72 and 4,547.98 is: 6,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.30 : 12,365.72 = 4,547.98 : x
  2. Step 2: Convert to fraction form
    8,251.30/12,365.72 = 4,547.98/x
  3. Step 3: Cross multiply
    8,251.30x = 12,365.72 × 4,547.98
  4. Step 4: Simplify right side
    8,251.30x = 56,239,047.25
  5. Step 5: Solve for x
    x = 56,239,047.25/8,251.30
  6. Step 6: Final answer
    x = 6,815.78

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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.