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Finding the Fourth Proportional to 8,521.34, 12,783.62 and 2,976.26

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Solution

The fourth proportional to 8,521.34, 12,783.62 and 2,976.26 is: 4,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.34 : 12,783.62 = 2,976.26 : x
  2. Step 2: Convert to fraction form
    8,521.34/12,783.62 = 2,976.26/x
  3. Step 3: Cross multiply
    8,521.34x = 12,783.62 × 2,976.26
  4. Step 4: Simplify right side
    8,521.34x = 38,047,298.06
  5. Step 5: Solve for x
    x = 38,047,298.06/8,521.34
  6. Step 6: Final answer
    x = 4,464.95

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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.