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Finding the Fourth Proportional to 10,095.65, 13,932.76 and 5,847.86

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Solution

The fourth proportional to 10,095.65, 13,932.76 and 5,847.86 is: 8,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.65 : 13,932.76 = 5,847.86 : x
  2. Step 2: Convert to fraction form
    10,095.65/13,932.76 = 5,847.86/x
  3. Step 3: Cross multiply
    10,095.65x = 13,932.76 × 5,847.86
  4. Step 4: Simplify right side
    10,095.65x = 81,476,861.07
  5. Step 5: Solve for x
    x = 81,476,861.07/10,095.65
  6. Step 6: Final answer
    x = 8,070.49

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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.