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Finding the Fourth Proportional to 7,538.64, 10,398.96 and 4,745.76

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Solution

The fourth proportional to 7,538.64, 10,398.96 and 4,745.76 is: 6,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.64 : 10,398.96 = 4,745.76 : x
  2. Step 2: Convert to fraction form
    7,538.64/10,398.96 = 4,745.76/x
  3. Step 3: Cross multiply
    7,538.64x = 10,398.96 × 4,745.76
  4. Step 4: Simplify right side
    7,538.64x = 49,350,968.41
  5. Step 5: Solve for x
    x = 49,350,968.41/7,538.64
  6. Step 6: Final answer
    x = 6,546.40

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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.