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Finding the Fourth Proportional to 11,386.80, 17,088.84 and 7,680.24

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Solution

The fourth proportional to 11,386.80, 17,088.84 and 7,680.24 is: 11,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.80 : 17,088.84 = 7,680.24 : x
  2. Step 2: Convert to fraction form
    11,386.80/17,088.84 = 7,680.24/x
  3. Step 3: Cross multiply
    11,386.80x = 17,088.84 × 7,680.24
  4. Step 4: Simplify right side
    11,386.80x = 131,246,392.52
  5. Step 5: Solve for x
    x = 131,246,392.52/11,386.80
  6. Step 6: Final answer
    x = 11,526.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.