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Finding the Fourth Proportional to 7,534.57, 11,300.98 and 1,988.36

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Solution

The fourth proportional to 7,534.57, 11,300.98 and 1,988.36 is: 2,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.57 : 11,300.98 = 1,988.36 : x
  2. Step 2: Convert to fraction form
    7,534.57/11,300.98 = 1,988.36/x
  3. Step 3: Cross multiply
    7,534.57x = 11,300.98 × 1,988.36
  4. Step 4: Simplify right side
    7,534.57x = 22,470,350.15
  5. Step 5: Solve for x
    x = 22,470,350.15/7,534.57
  6. Step 6: Final answer
    x = 2,982.30

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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.