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Finding the Fourth Proportional to 6,871.98, 10,307.13 and 2,924.83

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Solution

The fourth proportional to 6,871.98, 10,307.13 and 2,924.83 is: 4,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.98 : 10,307.13 = 2,924.83 : x
  2. Step 2: Convert to fraction form
    6,871.98/10,307.13 = 2,924.83/x
  3. Step 3: Cross multiply
    6,871.98x = 10,307.13 × 2,924.83
  4. Step 4: Simplify right side
    6,871.98x = 30,146,603.04
  5. Step 5: Solve for x
    x = 30,146,603.04/6,871.98
  6. Step 6: Final answer
    x = 4,386.89

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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.