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Finding the Fourth Proportional to 10,242.76, 15,371.22 and 4,696.72

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Solution

The fourth proportional to 10,242.76, 15,371.22 and 4,696.72 is: 7,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.76 : 15,371.22 = 4,696.72 : x
  2. Step 2: Convert to fraction form
    10,242.76/15,371.22 = 4,696.72/x
  3. Step 3: Cross multiply
    10,242.76x = 15,371.22 × 4,696.72
  4. Step 4: Simplify right side
    10,242.76x = 72,194,316.40
  5. Step 5: Solve for x
    x = 72,194,316.40/10,242.76
  6. Step 6: Final answer
    x = 7,048.33

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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.