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Finding the Fourth Proportional to 10,047.72, 15,071.94 and 4,196.28

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Solution

The fourth proportional to 10,047.72, 15,071.94 and 4,196.28 is: 6,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.72 : 15,071.94 = 4,196.28 : x
  2. Step 2: Convert to fraction form
    10,047.72/15,071.94 = 4,196.28/x
  3. Step 3: Cross multiply
    10,047.72x = 15,071.94 × 4,196.28
  4. Step 4: Simplify right side
    10,047.72x = 63,246,080.38
  5. Step 5: Solve for x
    x = 63,246,080.38/10,047.72
  6. Step 6: Final answer
    x = 6,294.57

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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.