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Finding the Fourth Proportional to 8,275.24, 12,421.02 and 6,077.80

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Solution

The fourth proportional to 8,275.24, 12,421.02 and 6,077.80 is: 9,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.24 : 12,421.02 = 6,077.80 : x
  2. Step 2: Convert to fraction form
    8,275.24/12,421.02 = 6,077.80/x
  3. Step 3: Cross multiply
    8,275.24x = 12,421.02 × 6,077.80
  4. Step 4: Simplify right side
    8,275.24x = 75,492,475.36
  5. Step 5: Solve for x
    x = 75,492,475.36/8,275.24
  6. Step 6: Final answer
    x = 9,122.69

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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.