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Finding the Fourth Proportional to 10,478.52, 15,706.44 and 5,284.80

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Solution

The fourth proportional to 10,478.52, 15,706.44 and 5,284.80 is: 7,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.52 : 15,706.44 = 5,284.80 : x
  2. Step 2: Convert to fraction form
    10,478.52/15,706.44 = 5,284.80/x
  3. Step 3: Cross multiply
    10,478.52x = 15,706.44 × 5,284.80
  4. Step 4: Simplify right side
    10,478.52x = 83,005,394.11
  5. Step 5: Solve for x
    x = 83,005,394.11/10,478.52
  6. Step 6: Final answer
    x = 7,921.48

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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.