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Finding the Fourth Proportional to 11,154.47, 16,718.03 and 6,709.40

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Solution

The fourth proportional to 11,154.47, 16,718.03 and 6,709.40 is: 10,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.47 : 16,718.03 = 6,709.40 : x
  2. Step 2: Convert to fraction form
    11,154.47/16,718.03 = 6,709.40/x
  3. Step 3: Cross multiply
    11,154.47x = 16,718.03 × 6,709.40
  4. Step 4: Simplify right side
    11,154.47x = 112,167,833.34
  5. Step 5: Solve for x
    x = 112,167,833.34/11,154.47
  6. Step 6: Final answer
    x = 10,055.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.