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Finding the Fourth Proportional to 7,005.80, 10,498.84 and 3,887.24

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Solution

The fourth proportional to 7,005.80, 10,498.84 and 3,887.24 is: 5,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.80 : 10,498.84 = 3,887.24 : x
  2. Step 2: Convert to fraction form
    7,005.80/10,498.84 = 3,887.24/x
  3. Step 3: Cross multiply
    7,005.80x = 10,498.84 × 3,887.24
  4. Step 4: Simplify right side
    7,005.80x = 40,811,510.80
  5. Step 5: Solve for x
    x = 40,811,510.80/7,005.80
  6. Step 6: Final answer
    x = 5,825.39

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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.