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Finding the Fourth Proportional to 11,585.43, 15,999.27 and 9,897

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Solution

The fourth proportional to 11,585.43, 15,999.27 and 9,897 is: 13,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.43 : 15,999.27 = 9,897 : x
  2. Step 2: Convert to fraction form
    11,585.43/15,999.27 = 9,897/x
  3. Step 3: Cross multiply
    11,585.43x = 15,999.27 × 9,897
  4. Step 4: Simplify right side
    11,585.43x = 158,344,775.19
  5. Step 5: Solve for x
    x = 158,344,775.19/11,585.43
  6. Step 6: Final answer
    x = 13,667.58

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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.