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Finding the Fourth Proportional to 8,643.60, 12,965.40 and 2,804.28

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Solution

The fourth proportional to 8,643.60, 12,965.40 and 2,804.28 is: 4,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.60 : 12,965.40 = 2,804.28 : x
  2. Step 2: Convert to fraction form
    8,643.60/12,965.40 = 2,804.28/x
  3. Step 3: Cross multiply
    8,643.60x = 12,965.40 × 2,804.28
  4. Step 4: Simplify right side
    8,643.60x = 36,358,611.91
  5. Step 5: Solve for x
    x = 36,358,611.91/8,643.60
  6. Step 6: Final answer
    x = 4,206.42

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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.