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Finding the Fourth Proportional to 8,002.16, 11,042.91 and 4,417.15

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Solution

The fourth proportional to 8,002.16, 11,042.91 and 4,417.15 is: 6,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.16 : 11,042.91 = 4,417.15 : x
  2. Step 2: Convert to fraction form
    8,002.16/11,042.91 = 4,417.15/x
  3. Step 3: Cross multiply
    8,002.16x = 11,042.91 × 4,417.15
  4. Step 4: Simplify right side
    8,002.16x = 48,778,189.91
  5. Step 5: Solve for x
    x = 48,778,189.91/8,002.16
  6. Step 6: Final answer
    x = 6,095.63

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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.