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Finding the Fourth Proportional to 8,566.40, 12,835.20 and 5,643.20

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Solution

The fourth proportional to 8,566.40, 12,835.20 and 5,643.20 is: 8,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.40 : 12,835.20 = 5,643.20 : x
  2. Step 2: Convert to fraction form
    8,566.40/12,835.20 = 5,643.20/x
  3. Step 3: Cross multiply
    8,566.40x = 12,835.20 × 5,643.20
  4. Step 4: Simplify right side
    8,566.40x = 72,431,600.64
  5. Step 5: Solve for x
    x = 72,431,600.64/8,566.40
  6. Step 6: Final answer
    x = 8,455.31

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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.