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Finding the Fourth Proportional to 11,291.34, 15,565.80 and 7,923.72

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Solution

The fourth proportional to 11,291.34, 15,565.80 and 7,923.72 is: 10,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.34 : 15,565.80 = 7,923.72 : x
  2. Step 2: Convert to fraction form
    11,291.34/15,565.80 = 7,923.72/x
  3. Step 3: Cross multiply
    11,291.34x = 15,565.80 × 7,923.72
  4. Step 4: Simplify right side
    11,291.34x = 123,339,040.78
  5. Step 5: Solve for x
    x = 123,339,040.78/11,291.34
  6. Step 6: Final answer
    x = 10,923.33

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