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Finding the Fourth Proportional to 8,322.30, 12,483.45 and 8,030.70

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Solution

The fourth proportional to 8,322.30, 12,483.45 and 8,030.70 is: 12,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.30 : 12,483.45 = 8,030.70 : x
  2. Step 2: Convert to fraction form
    8,322.30/12,483.45 = 8,030.70/x
  3. Step 3: Cross multiply
    8,322.30x = 12,483.45 × 8,030.70
  4. Step 4: Simplify right side
    8,322.30x = 100,250,841.92
  5. Step 5: Solve for x
    x = 100,250,841.92/8,322.30
  6. Step 6: Final answer
    x = 12,046.05

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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.