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Finding the Fourth Proportional to 7,760.16, 10,709.28 and 4,615.92

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Solution

The fourth proportional to 7,760.16, 10,709.28 and 4,615.92 is: 6,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.16 : 10,709.28 = 4,615.92 : x
  2. Step 2: Convert to fraction form
    7,760.16/10,709.28 = 4,615.92/x
  3. Step 3: Cross multiply
    7,760.16x = 10,709.28 × 4,615.92
  4. Step 4: Simplify right side
    7,760.16x = 49,433,179.74
  5. Step 5: Solve for x
    x = 49,433,179.74/7,760.16
  6. Step 6: Final answer
    x = 6,370.12

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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.