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Finding the Fourth Proportional to 7,293.12, 10,067.93 and 5,702.10

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Solution

The fourth proportional to 7,293.12, 10,067.93 and 5,702.10 is: 7,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.12 : 10,067.93 = 5,702.10 : x
  2. Step 2: Convert to fraction form
    7,293.12/10,067.93 = 5,702.10/x
  3. Step 3: Cross multiply
    7,293.12x = 10,067.93 × 5,702.10
  4. Step 4: Simplify right side
    7,293.12x = 57,408,343.65
  5. Step 5: Solve for x
    x = 57,408,343.65/7,293.12
  6. Step 6: Final answer
    x = 7,871.58

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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.