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Finding the Fourth Proportional to 11,681, 16,121.27 and 7,710.38

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Solution

The fourth proportional to 11,681, 16,121.27 and 7,710.38 is: 10,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681 : 16,121.27 = 7,710.38 : x
  2. Step 2: Convert to fraction form
    11,681/16,121.27 = 7,710.38/x
  3. Step 3: Cross multiply
    11,681x = 16,121.27 × 7,710.38
  4. Step 4: Simplify right side
    11,681x = 124,301,117.78
  5. Step 5: Solve for x
    x = 124,301,117.78/11,681
  6. Step 6: Final answer
    x = 10,641.31

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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.