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Finding the Fourth Proportional to 11,381.29, 15,700.60 and 7,605.38

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Solution

The fourth proportional to 11,381.29, 15,700.60 and 7,605.38 is: 10,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.29 : 15,700.60 = 7,605.38 : x
  2. Step 2: Convert to fraction form
    11,381.29/15,700.60 = 7,605.38/x
  3. Step 3: Cross multiply
    11,381.29x = 15,700.60 × 7,605.38
  4. Step 4: Simplify right side
    11,381.29x = 119,409,005.77
  5. Step 5: Solve for x
    x = 119,409,005.77/11,381.29
  6. Step 6: Final answer
    x = 10,491.69

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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.