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Finding the Fourth Proportional to 10,021.28, 15,012.48 and 7,384

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Solution

The fourth proportional to 10,021.28, 15,012.48 and 7,384 is: 11,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.28 : 15,012.48 = 7,384 : x
  2. Step 2: Convert to fraction form
    10,021.28/15,012.48 = 7,384/x
  3. Step 3: Cross multiply
    10,021.28x = 15,012.48 × 7,384
  4. Step 4: Simplify right side
    10,021.28x = 110,852,152.32
  5. Step 5: Solve for x
    x = 110,852,152.32/10,021.28
  6. Step 6: Final answer
    x = 11,061.68

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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.