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Finding the Fourth Proportional to 7,004.68, 9,659.34 and 5,116.56

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Solution

The fourth proportional to 7,004.68, 9,659.34 and 5,116.56 is: 7,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.68 : 9,659.34 = 5,116.56 : x
  2. Step 2: Convert to fraction form
    7,004.68/9,659.34 = 5,116.56/x
  3. Step 3: Cross multiply
    7,004.68x = 9,659.34 × 5,116.56
  4. Step 4: Simplify right side
    7,004.68x = 49,422,592.67
  5. Step 5: Solve for x
    x = 49,422,592.67/7,004.68
  6. Step 6: Final answer
    x = 7,055.65

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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.