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Finding the Fourth Proportional to 7,146.88, 10,721.06 and 1,952.76

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Solution

The fourth proportional to 7,146.88, 10,721.06 and 1,952.76 is: 2,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.88 : 10,721.06 = 1,952.76 : x
  2. Step 2: Convert to fraction form
    7,146.88/10,721.06 = 1,952.76/x
  3. Step 3: Cross multiply
    7,146.88x = 10,721.06 × 1,952.76
  4. Step 4: Simplify right side
    7,146.88x = 20,935,657.13
  5. Step 5: Solve for x
    x = 20,935,657.13/7,146.88
  6. Step 6: Final answer
    x = 2,929.34

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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.