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Finding the Fourth Proportional to 10,295.42, 15,431.20 and 4,737.10

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Solution

The fourth proportional to 10,295.42, 15,431.20 and 4,737.10 is: 7,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.42 : 15,431.20 = 4,737.10 : x
  2. Step 2: Convert to fraction form
    10,295.42/15,431.20 = 4,737.10/x
  3. Step 3: Cross multiply
    10,295.42x = 15,431.20 × 4,737.10
  4. Step 4: Simplify right side
    10,295.42x = 73,099,137.52
  5. Step 5: Solve for x
    x = 73,099,137.52/10,295.42
  6. Step 6: Final answer
    x = 7,100.16

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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.