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Finding the Fourth Proportional to 7,701.88, 11,549.16 and 4,000.40

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Solution

The fourth proportional to 7,701.88, 11,549.16 and 4,000.40 is: 5,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.88 : 11,549.16 = 4,000.40 : x
  2. Step 2: Convert to fraction form
    7,701.88/11,549.16 = 4,000.40/x
  3. Step 3: Cross multiply
    7,701.88x = 11,549.16 × 4,000.40
  4. Step 4: Simplify right side
    7,701.88x = 46,201,259.66
  5. Step 5: Solve for x
    x = 46,201,259.66/7,701.88
  6. Step 6: Final answer
    x = 5,998.70

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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.