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Finding the Fourth Proportional to 10,391.16, 14,345.62 and 6,860.57

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Solution

The fourth proportional to 10,391.16, 14,345.62 and 6,860.57 is: 9,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.16 : 14,345.62 = 6,860.57 : x
  2. Step 2: Convert to fraction form
    10,391.16/14,345.62 = 6,860.57/x
  3. Step 3: Cross multiply
    10,391.16x = 14,345.62 × 6,860.57
  4. Step 4: Simplify right side
    10,391.16x = 98,419,130.20
  5. Step 5: Solve for x
    x = 98,419,130.20/10,391.16
  6. Step 6: Final answer
    x = 9,471.43

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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.