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Finding the Fourth Proportional to 10,429.44, 15,644.02 and 2,532.02

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Solution

The fourth proportional to 10,429.44, 15,644.02 and 2,532.02 is: 3,798.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.44 : 15,644.02 = 2,532.02 : x
  2. Step 2: Convert to fraction form
    10,429.44/15,644.02 = 2,532.02/x
  3. Step 3: Cross multiply
    10,429.44x = 15,644.02 × 2,532.02
  4. Step 4: Simplify right side
    10,429.44x = 39,610,971.52
  5. Step 5: Solve for x
    x = 39,610,971.52/10,429.44
  6. Step 6: Final answer
    x = 3,798.00

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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.