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Finding the Fourth Proportional to 10,113.66, 13,957.61 and 5,865.89

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Solution

The fourth proportional to 10,113.66, 13,957.61 and 5,865.89 is: 8,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.66 : 13,957.61 = 5,865.89 : x
  2. Step 2: Convert to fraction form
    10,113.66/13,957.61 = 5,865.89/x
  3. Step 3: Cross multiply
    10,113.66x = 13,957.61 × 5,865.89
  4. Step 4: Simplify right side
    10,113.66x = 81,873,705.81
  5. Step 5: Solve for x
    x = 81,873,705.81/10,113.66
  6. Step 6: Final answer
    x = 8,095.36

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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.