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Finding the Fourth Proportional to 10,195.01, 14,069.51 and 5,657.66

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Solution

The fourth proportional to 10,195.01, 14,069.51 and 5,657.66 is: 7,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.01 : 14,069.51 = 5,657.66 : x
  2. Step 2: Convert to fraction form
    10,195.01/14,069.51 = 5,657.66/x
  3. Step 3: Cross multiply
    10,195.01x = 14,069.51 × 5,657.66
  4. Step 4: Simplify right side
    10,195.01x = 79,600,405.31
  5. Step 5: Solve for x
    x = 79,600,405.31/10,195.01
  6. Step 6: Final answer
    x = 7,807.78

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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.