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Finding the Fourth Proportional to 11,585.86, 17,365.34 and 5,332.74

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Solution

The fourth proportional to 11,585.86, 17,365.34 and 5,332.74 is: 7,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.86 : 17,365.34 = 5,332.74 : x
  2. Step 2: Convert to fraction form
    11,585.86/17,365.34 = 5,332.74/x
  3. Step 3: Cross multiply
    11,585.86x = 17,365.34 × 5,332.74
  4. Step 4: Simplify right side
    11,585.86x = 92,604,843.23
  5. Step 5: Solve for x
    x = 92,604,843.23/11,585.86
  6. Step 6: Final answer
    x = 7,992.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.