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Finding the Fourth Proportional to 8,643.63, 12,967.34 and 2,800.16

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Solution

The fourth proportional to 8,643.63, 12,967.34 and 2,800.16 is: 4,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.63 : 12,967.34 = 2,800.16 : x
  2. Step 2: Convert to fraction form
    8,643.63/12,967.34 = 2,800.16/x
  3. Step 3: Cross multiply
    8,643.63x = 12,967.34 × 2,800.16
  4. Step 4: Simplify right side
    8,643.63x = 36,310,547.94
  5. Step 5: Solve for x
    x = 36,310,547.94/8,643.63
  6. Step 6: Final answer
    x = 4,200.84

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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.