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Finding the Fourth Proportional to 11,849.59, 16,352.32 and 6,544.07

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Solution

The fourth proportional to 11,849.59, 16,352.32 and 6,544.07 is: 9,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.59 : 16,352.32 = 6,544.07 : x
  2. Step 2: Convert to fraction form
    11,849.59/16,352.32 = 6,544.07/x
  3. Step 3: Cross multiply
    11,849.59x = 16,352.32 × 6,544.07
  4. Step 4: Simplify right side
    11,849.59x = 107,010,726.74
  5. Step 5: Solve for x
    x = 107,010,726.74/11,849.59
  6. Step 6: Final answer
    x = 9,030.75

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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.