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Finding the Fourth Proportional to 7,291.68, 10,062 and 5,723.52

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Solution

The fourth proportional to 7,291.68, 10,062 and 5,723.52 is: 7,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.68 : 10,062 = 5,723.52 : x
  2. Step 2: Convert to fraction form
    7,291.68/10,062 = 5,723.52/x
  3. Step 3: Cross multiply
    7,291.68x = 10,062 × 5,723.52
  4. Step 4: Simplify right side
    7,291.68x = 57,590,058.24
  5. Step 5: Solve for x
    x = 57,590,058.24/7,291.68
  6. Step 6: Final answer
    x = 7,898.05

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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.