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Finding the Fourth Proportional to 8,356.35, 12,532.47 and 3,427.40

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Solution

The fourth proportional to 8,356.35, 12,532.47 and 3,427.40 is: 5,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.35 : 12,532.47 = 3,427.40 : x
  2. Step 2: Convert to fraction form
    8,356.35/12,532.47 = 3,427.40/x
  3. Step 3: Cross multiply
    8,356.35x = 12,532.47 × 3,427.40
  4. Step 4: Simplify right side
    8,356.35x = 42,953,754.94
  5. Step 5: Solve for x
    x = 42,953,754.94/8,356.35
  6. Step 6: Final answer
    x = 5,140.25

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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.