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Finding the Fourth Proportional to 7,127.88, 10,686.04 and 2,971.02

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Solution

The fourth proportional to 7,127.88, 10,686.04 and 2,971.02 is: 4,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.88 : 10,686.04 = 2,971.02 : x
  2. Step 2: Convert to fraction form
    7,127.88/10,686.04 = 2,971.02/x
  3. Step 3: Cross multiply
    7,127.88x = 10,686.04 × 2,971.02
  4. Step 4: Simplify right side
    7,127.88x = 31,748,438.56
  5. Step 5: Solve for x
    x = 31,748,438.56/7,127.88
  6. Step 6: Final answer
    x = 4,454.12

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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.