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Finding the Fourth Proportional to 10,339.10, 14,256.56 and 7,146.86

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Solution

The fourth proportional to 10,339.10, 14,256.56 and 7,146.86 is: 9,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.10 : 14,256.56 = 7,146.86 : x
  2. Step 2: Convert to fraction form
    10,339.10/14,256.56 = 7,146.86/x
  3. Step 3: Cross multiply
    10,339.10x = 14,256.56 × 7,146.86
  4. Step 4: Simplify right side
    10,339.10x = 101,889,584.99
  5. Step 5: Solve for x
    x = 101,889,584.99/10,339.10
  6. Step 6: Final answer
    x = 9,854.78

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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.