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Finding the Fourth Proportional to 7,538.74, 10,408.26 and 4,851.16

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Solution

The fourth proportional to 7,538.74, 10,408.26 and 4,851.16 is: 6,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.74 : 10,408.26 = 4,851.16 : x
  2. Step 2: Convert to fraction form
    7,538.74/10,408.26 = 4,851.16/x
  3. Step 3: Cross multiply
    7,538.74x = 10,408.26 × 4,851.16
  4. Step 4: Simplify right side
    7,538.74x = 50,492,134.58
  5. Step 5: Solve for x
    x = 50,492,134.58/7,538.74
  6. Step 6: Final answer
    x = 6,697.69

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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.