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Finding the Fourth Proportional to 11,488.40, 15,859.89 and 9,827.65

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Solution

The fourth proportional to 11,488.40, 15,859.89 and 9,827.65 is: 13,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.40 : 15,859.89 = 9,827.65 : x
  2. Step 2: Convert to fraction form
    11,488.40/15,859.89 = 9,827.65/x
  3. Step 3: Cross multiply
    11,488.40x = 15,859.89 × 9,827.65
  4. Step 4: Simplify right side
    11,488.40x = 155,865,408.31
  5. Step 5: Solve for x
    x = 155,865,408.31/11,488.40
  6. Step 6: Final answer
    x = 13,567.20

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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.