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Finding the Fourth Proportional to 7,760.64, 10,707.02 and 5,110.74

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Solution

The fourth proportional to 7,760.64, 10,707.02 and 5,110.74 is: 7,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.64 : 10,707.02 = 5,110.74 : x
  2. Step 2: Convert to fraction form
    7,760.64/10,707.02 = 5,110.74/x
  3. Step 3: Cross multiply
    7,760.64x = 10,707.02 × 5,110.74
  4. Step 4: Simplify right side
    7,760.64x = 54,720,795.39
  5. Step 5: Solve for x
    x = 54,720,795.39/7,760.64
  6. Step 6: Final answer
    x = 7,051.07

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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.