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Finding the Fourth Proportional to 8,002.77, 11,043.25 and 4,417.02

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Solution

The fourth proportional to 8,002.77, 11,043.25 and 4,417.02 is: 6,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.77 : 11,043.25 = 4,417.02 : x
  2. Step 2: Convert to fraction form
    8,002.77/11,043.25 = 4,417.02/x
  3. Step 3: Cross multiply
    8,002.77x = 11,043.25 × 4,417.02
  4. Step 4: Simplify right side
    8,002.77x = 48,778,256.12
  5. Step 5: Solve for x
    x = 48,778,256.12/8,002.77
  6. Step 6: Final answer
    x = 6,095.17

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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.