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Finding the Fourth Proportional to 11,584.40, 15,988.20 and 9,693.20

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Solution

The fourth proportional to 11,584.40, 15,988.20 and 9,693.20 is: 13,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.40 : 15,988.20 = 9,693.20 : x
  2. Step 2: Convert to fraction form
    11,584.40/15,988.20 = 9,693.20/x
  3. Step 3: Cross multiply
    11,584.40x = 15,988.20 × 9,693.20
  4. Step 4: Simplify right side
    11,584.40x = 154,976,820.24
  5. Step 5: Solve for x
    x = 154,976,820.24/11,584.40
  6. Step 6: Final answer
    x = 13,378.06

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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.