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Finding the Fourth Proportional to 10,297.53, 15,408.02 and 6,139.80

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Solution

The fourth proportional to 10,297.53, 15,408.02 and 6,139.80 is: 9,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.53 : 15,408.02 = 6,139.80 : x
  2. Step 2: Convert to fraction form
    10,297.53/15,408.02 = 6,139.80/x
  3. Step 3: Cross multiply
    10,297.53x = 15,408.02 × 6,139.80
  4. Step 4: Simplify right side
    10,297.53x = 94,602,176.55
  5. Step 5: Solve for x
    x = 94,602,176.55/10,297.53
  6. Step 6: Final answer
    x = 9,186.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.