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Finding the Fourth Proportional to 8,002.25, 11,041.78 and 4,465.45

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Solution

The fourth proportional to 8,002.25, 11,041.78 and 4,465.45 is: 6,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.25 : 11,041.78 = 4,465.45 : x
  2. Step 2: Convert to fraction form
    8,002.25/11,041.78 = 4,465.45/x
  3. Step 3: Cross multiply
    8,002.25x = 11,041.78 × 4,465.45
  4. Step 4: Simplify right side
    8,002.25x = 49,306,516.50
  5. Step 5: Solve for x
    x = 49,306,516.50/8,002.25
  6. Step 6: Final answer
    x = 6,161.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.