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Finding the Fourth Proportional to 8,000.32, 11,038.88 and 6,809.77

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Solution

The fourth proportional to 8,000.32, 11,038.88 and 6,809.77 is: 9,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.32 : 11,038.88 = 6,809.77 : x
  2. Step 2: Convert to fraction form
    8,000.32/11,038.88 = 6,809.77/x
  3. Step 3: Cross multiply
    8,000.32x = 11,038.88 × 6,809.77
  4. Step 4: Simplify right side
    8,000.32x = 75,172,264.68
  5. Step 5: Solve for x
    x = 75,172,264.68/8,000.32
  6. Step 6: Final answer
    x = 9,396.16

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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.