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Finding the Fourth Proportional to 10,866.66, 16,300.40 and 3,847.43

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Solution

The fourth proportional to 10,866.66, 16,300.40 and 3,847.43 is: 5,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.66 : 16,300.40 = 3,847.43 : x
  2. Step 2: Convert to fraction form
    10,866.66/16,300.40 = 3,847.43/x
  3. Step 3: Cross multiply
    10,866.66x = 16,300.40 × 3,847.43
  4. Step 4: Simplify right side
    10,866.66x = 62,714,547.23
  5. Step 5: Solve for x
    x = 62,714,547.23/10,866.66
  6. Step 6: Final answer
    x = 5,771.28

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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.