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Finding the Fourth Proportional to 7,708.77, 10,638.14 and 4,564.76

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Solution

The fourth proportional to 7,708.77, 10,638.14 and 4,564.76 is: 6,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.77 : 10,638.14 = 4,564.76 : x
  2. Step 2: Convert to fraction form
    7,708.77/10,638.14 = 4,564.76/x
  3. Step 3: Cross multiply
    7,708.77x = 10,638.14 × 4,564.76
  4. Step 4: Simplify right side
    7,708.77x = 48,560,479.93
  5. Step 5: Solve for x
    x = 48,560,479.93/7,708.77
  6. Step 6: Final answer
    x = 6,299.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.