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Finding the Fourth Proportional to 10,257.84, 15,393.24 and 4,023

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Solution

The fourth proportional to 10,257.84, 15,393.24 and 4,023 is: 6,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.84 : 15,393.24 = 4,023 : x
  2. Step 2: Convert to fraction form
    10,257.84/15,393.24 = 4,023/x
  3. Step 3: Cross multiply
    10,257.84x = 15,393.24 × 4,023
  4. Step 4: Simplify right side
    10,257.84x = 61,927,004.52
  5. Step 5: Solve for x
    x = 61,927,004.52/10,257.84
  6. Step 6: Final answer
    x = 6,037.04

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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.