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Finding the Fourth Proportional to 12,117.60, 16,721.86 and 6,812.72

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Solution

The fourth proportional to 12,117.60, 16,721.86 and 6,812.72 is: 9,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.60 : 16,721.86 = 6,812.72 : x
  2. Step 2: Convert to fraction form
    12,117.60/16,721.86 = 6,812.72/x
  3. Step 3: Cross multiply
    12,117.60x = 16,721.86 × 6,812.72
  4. Step 4: Simplify right side
    12,117.60x = 113,921,350.06
  5. Step 5: Solve for x
    x = 113,921,350.06/12,117.60
  6. Step 6: Final answer
    x = 9,401.31

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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.