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Finding the Fourth Proportional to 11,494.46, 15,868.40 and 7,737.38

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Solution

The fourth proportional to 11,494.46, 15,868.40 and 7,737.38 is: 10,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.46 : 15,868.40 = 7,737.38 : x
  2. Step 2: Convert to fraction form
    11,494.46/15,868.40 = 7,737.38/x
  3. Step 3: Cross multiply
    11,494.46x = 15,868.40 × 7,737.38
  4. Step 4: Simplify right side
    11,494.46x = 122,779,840.79
  5. Step 5: Solve for x
    x = 122,779,840.79/11,494.46
  6. Step 6: Final answer
    x = 10,681.65

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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.