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Finding the Fourth Proportional to 10,680.58, 14,746.13 and 9,559.57

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Solution

The fourth proportional to 10,680.58, 14,746.13 and 9,559.57 is: 13,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.58 : 14,746.13 = 9,559.57 : x
  2. Step 2: Convert to fraction form
    10,680.58/14,746.13 = 9,559.57/x
  3. Step 3: Cross multiply
    10,680.58x = 14,746.13 × 9,559.57
  4. Step 4: Simplify right side
    10,680.58x = 140,966,661.96
  5. Step 5: Solve for x
    x = 140,966,661.96/10,680.58
  6. Step 6: Final answer
    x = 13,198.41

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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.