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Finding the Fourth Proportional to 10,462.30, 15,693.93 and 4,137.16

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Solution

The fourth proportional to 10,462.30, 15,693.93 and 4,137.16 is: 6,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.30 : 15,693.93 = 4,137.16 : x
  2. Step 2: Convert to fraction form
    10,462.30/15,693.93 = 4,137.16/x
  3. Step 3: Cross multiply
    10,462.30x = 15,693.93 × 4,137.16
  4. Step 4: Simplify right side
    10,462.30x = 64,928,299.44
  5. Step 5: Solve for x
    x = 64,928,299.44/10,462.30
  6. Step 6: Final answer
    x = 6,205.93

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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.