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Finding the Fourth Proportional to 6,865.86, 10,298.09 and 4,658.87

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Solution

The fourth proportional to 6,865.86, 10,298.09 and 4,658.87 is: 6,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.86 : 10,298.09 = 4,658.87 : x
  2. Step 2: Convert to fraction form
    6,865.86/10,298.09 = 4,658.87/x
  3. Step 3: Cross multiply
    6,865.86x = 10,298.09 × 4,658.87
  4. Step 4: Simplify right side
    6,865.86x = 47,977,415.82
  5. Step 5: Solve for x
    x = 47,977,415.82/6,865.86
  6. Step 6: Final answer
    x = 6,987.82

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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.