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Finding the Fourth Proportional to 7,129.60, 9,841.84 and 5,256.06

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Solution

The fourth proportional to 7,129.60, 9,841.84 and 5,256.06 is: 7,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.60 : 9,841.84 = 5,256.06 : x
  2. Step 2: Convert to fraction form
    7,129.60/9,841.84 = 5,256.06/x
  3. Step 3: Cross multiply
    7,129.60x = 9,841.84 × 5,256.06
  4. Step 4: Simplify right side
    7,129.60x = 51,729,301.55
  5. Step 5: Solve for x
    x = 51,729,301.55/7,129.60
  6. Step 6: Final answer
    x = 7,255.57

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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.