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Finding the Fourth Proportional to 10,417.15, 14,375.55 and 5,701.38

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Solution

The fourth proportional to 10,417.15, 14,375.55 and 5,701.38 is: 7,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.15 : 14,375.55 = 5,701.38 : x
  2. Step 2: Convert to fraction form
    10,417.15/14,375.55 = 5,701.38/x
  3. Step 3: Cross multiply
    10,417.15x = 14,375.55 × 5,701.38
  4. Step 4: Simplify right side
    10,417.15x = 81,960,473.26
  5. Step 5: Solve for x
    x = 81,960,473.26/10,417.15
  6. Step 6: Final answer
    x = 7,867.84

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Why These Related Problems?

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