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Finding the Fourth Proportional to 10,569.44, 15,855.60 and 4,412

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Solution

The fourth proportional to 10,569.44, 15,855.60 and 4,412 is: 6,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.44 : 15,855.60 = 4,412 : x
  2. Step 2: Convert to fraction form
    10,569.44/15,855.60 = 4,412/x
  3. Step 3: Cross multiply
    10,569.44x = 15,855.60 × 4,412
  4. Step 4: Simplify right side
    10,569.44x = 69,954,907.20
  5. Step 5: Solve for x
    x = 69,954,907.20/10,569.44
  6. Step 6: Final answer
    x = 6,618.60

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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.