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Finding the Fourth Proportional to 7,534.06, 11,300.12 and 1,987.82

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Solution

The fourth proportional to 7,534.06, 11,300.12 and 1,987.82 is: 2,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.06 : 11,300.12 = 1,987.82 : x
  2. Step 2: Convert to fraction form
    7,534.06/11,300.12 = 1,987.82/x
  3. Step 3: Cross multiply
    7,534.06x = 11,300.12 × 1,987.82
  4. Step 4: Simplify right side
    7,534.06x = 22,462,604.54
  5. Step 5: Solve for x
    x = 22,462,604.54/7,534.06
  6. Step 6: Final answer
    x = 2,981.47

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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.