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Finding the Fourth Proportional to 7,728.63, 11,587.92 and 5,088.14

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Solution

The fourth proportional to 7,728.63, 11,587.92 and 5,088.14 is: 7,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.63 : 11,587.92 = 5,088.14 : x
  2. Step 2: Convert to fraction form
    7,728.63/11,587.92 = 5,088.14/x
  3. Step 3: Cross multiply
    7,728.63x = 11,587.92 × 5,088.14
  4. Step 4: Simplify right side
    7,728.63x = 58,960,901.33
  5. Step 5: Solve for x
    x = 58,960,901.33/7,728.63
  6. Step 6: Final answer
    x = 7,628.89

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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.