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Finding the Fourth Proportional to 8,521.42, 12,782.50 and 2,975.32

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Solution

The fourth proportional to 8,521.42, 12,782.50 and 2,975.32 is: 4,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.42 : 12,782.50 = 2,975.32 : x
  2. Step 2: Convert to fraction form
    8,521.42/12,782.50 = 2,975.32/x
  3. Step 3: Cross multiply
    8,521.42x = 12,782.50 × 2,975.32
  4. Step 4: Simplify right side
    8,521.42x = 38,032,027.90
  5. Step 5: Solve for x
    x = 38,032,027.90/8,521.42
  6. Step 6: Final answer
    x = 4,463.11

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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.