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Finding the Fourth Proportional to 11,597.14, 15,988.45 and 9,215.02

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Solution

The fourth proportional to 11,597.14, 15,988.45 and 9,215.02 is: 12,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.14 : 15,988.45 = 9,215.02 : x
  2. Step 2: Convert to fraction form
    11,597.14/15,988.45 = 9,215.02/x
  3. Step 3: Cross multiply
    11,597.14x = 15,988.45 × 9,215.02
  4. Step 4: Simplify right side
    11,597.14x = 147,333,823.77
  5. Step 5: Solve for x
    x = 147,333,823.77/11,597.14
  6. Step 6: Final answer
    x = 12,704.33

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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.