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Finding the Fourth Proportional to 10,175.16, 15,248.02 and 4,975.16

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Solution

The fourth proportional to 10,175.16, 15,248.02 and 4,975.16 is: 7,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.16 : 15,248.02 = 4,975.16 : x
  2. Step 2: Convert to fraction form
    10,175.16/15,248.02 = 4,975.16/x
  3. Step 3: Cross multiply
    10,175.16x = 15,248.02 × 4,975.16
  4. Step 4: Simplify right side
    10,175.16x = 75,861,339.18
  5. Step 5: Solve for x
    x = 75,861,339.18/10,175.16
  6. Step 6: Final answer
    x = 7,455.54

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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.