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Finding the Fourth Proportional to 11,160.89, 15,400.41 and 6,683.70

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Solution

The fourth proportional to 11,160.89, 15,400.41 and 6,683.70 is: 9,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160.89 : 15,400.41 = 6,683.70 : x
  2. Step 2: Convert to fraction form
    11,160.89/15,400.41 = 6,683.70/x
  3. Step 3: Cross multiply
    11,160.89x = 15,400.41 × 6,683.70
  4. Step 4: Simplify right side
    11,160.89x = 102,931,666.38
  5. Step 5: Solve for x
    x = 102,931,666.38/11,160.89
  6. Step 6: Final answer
    x = 9,222.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.