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Finding the Fourth Proportional to 7,430.58, 10,253.52 and 4,286.16

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Solution

The fourth proportional to 7,430.58, 10,253.52 and 4,286.16 is: 5,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.58 : 10,253.52 = 4,286.16 : x
  2. Step 2: Convert to fraction form
    7,430.58/10,253.52 = 4,286.16/x
  3. Step 3: Cross multiply
    7,430.58x = 10,253.52 × 4,286.16
  4. Step 4: Simplify right side
    7,430.58x = 43,948,227.28
  5. Step 5: Solve for x
    x = 43,948,227.28/7,430.58
  6. Step 6: Final answer
    x = 5,914.51

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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.