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Finding the Fourth Proportional to 7,875.65, 10,868.14 and 4,338.83

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Solution

The fourth proportional to 7,875.65, 10,868.14 and 4,338.83 is: 5,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.65 : 10,868.14 = 4,338.83 : x
  2. Step 2: Convert to fraction form
    7,875.65/10,868.14 = 4,338.83/x
  3. Step 3: Cross multiply
    7,875.65x = 10,868.14 × 4,338.83
  4. Step 4: Simplify right side
    7,875.65x = 47,155,011.88
  5. Step 5: Solve for x
    x = 47,155,011.88/7,875.65
  6. Step 6: Final answer
    x = 5,987.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.