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Finding the Fourth Proportional to 10,417.03, 14,375.81 and 5,701.62

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Solution

The fourth proportional to 10,417.03, 14,375.81 and 5,701.62 is: 7,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.03 : 14,375.81 = 5,701.62 : x
  2. Step 2: Convert to fraction form
    10,417.03/14,375.81 = 5,701.62/x
  3. Step 3: Cross multiply
    10,417.03x = 14,375.81 × 5,701.62
  4. Step 4: Simplify right side
    10,417.03x = 81,965,334.09
  5. Step 5: Solve for x
    x = 81,965,334.09/10,417.03
  6. Step 6: Final answer
    x = 7,868.40

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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.