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Finding the Fourth Proportional to 7,707.24, 11,602.86 and 5,257.49

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Solution

The fourth proportional to 7,707.24, 11,602.86 and 5,257.49 is: 7,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.24 : 11,602.86 = 5,257.49 : x
  2. Step 2: Convert to fraction form
    7,707.24/11,602.86 = 5,257.49/x
  3. Step 3: Cross multiply
    7,707.24x = 11,602.86 × 5,257.49
  4. Step 4: Simplify right side
    7,707.24x = 61,001,894.13
  5. Step 5: Solve for x
    x = 61,001,894.13/7,707.24
  6. Step 6: Final answer
    x = 7,914.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.