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Finding the Fourth Proportional to 10,022.40, 15,029.76 and 4,823.04

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Solution

The fourth proportional to 10,022.40, 15,029.76 and 4,823.04 is: 7,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.40 : 15,029.76 = 4,823.04 : x
  2. Step 2: Convert to fraction form
    10,022.40/15,029.76 = 4,823.04/x
  3. Step 3: Cross multiply
    10,022.40x = 15,029.76 × 4,823.04
  4. Step 4: Simplify right side
    10,022.40x = 72,489,133.67
  5. Step 5: Solve for x
    x = 72,489,133.67/10,022.40
  6. Step 6: Final answer
    x = 7,232.71

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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.