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Finding the Fourth Proportional to 10,285.52, 15,427.64 and 4,438

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Solution

The fourth proportional to 10,285.52, 15,427.64 and 4,438 is: 6,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.52 : 15,427.64 = 4,438 : x
  2. Step 2: Convert to fraction form
    10,285.52/15,427.64 = 4,438/x
  3. Step 3: Cross multiply
    10,285.52x = 15,427.64 × 4,438
  4. Step 4: Simplify right side
    10,285.52x = 68,467,866.32
  5. Step 5: Solve for x
    x = 68,467,866.32/10,285.52
  6. Step 6: Final answer
    x = 6,656.72

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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.