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Finding the Fourth Proportional to 8,521.60, 12,762.56 and 8,226.02

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Solution

The fourth proportional to 8,521.60, 12,762.56 and 8,226.02 is: 12,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.60 : 12,762.56 = 8,226.02 : x
  2. Step 2: Convert to fraction form
    8,521.60/12,762.56 = 8,226.02/x
  3. Step 3: Cross multiply
    8,521.60x = 12,762.56 × 8,226.02
  4. Step 4: Simplify right side
    8,521.60x = 104,985,030.56
  5. Step 5: Solve for x
    x = 104,985,030.56/8,521.60
  6. Step 6: Final answer
    x = 12,319.87

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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.