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Finding the Fourth Proportional to 10,236.74, 15,342.48 and 5,303.54

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Solution

The fourth proportional to 10,236.74, 15,342.48 and 5,303.54 is: 7,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.74 : 15,342.48 = 5,303.54 : x
  2. Step 2: Convert to fraction form
    10,236.74/15,342.48 = 5,303.54/x
  3. Step 3: Cross multiply
    10,236.74x = 15,342.48 × 5,303.54
  4. Step 4: Simplify right side
    10,236.74x = 81,369,456.38
  5. Step 5: Solve for x
    x = 81,369,456.38/10,236.74
  6. Step 6: Final answer
    x = 7,948.77

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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.