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Finding the Fourth Proportional to 7,538.40, 10,403.64 and 4,394.52

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Solution

The fourth proportional to 7,538.40, 10,403.64 and 4,394.52 is: 6,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.40 : 10,403.64 = 4,394.52 : x
  2. Step 2: Convert to fraction form
    7,538.40/10,403.64 = 4,394.52/x
  3. Step 3: Cross multiply
    7,538.40x = 10,403.64 × 4,394.52
  4. Step 4: Simplify right side
    7,538.40x = 45,719,004.05
  5. Step 5: Solve for x
    x = 45,719,004.05/7,538.40
  6. Step 6: Final answer
    x = 6,064.82

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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.