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Finding the Fourth Proportional to 10,646.43, 15,969.65 and 2,855.45

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Solution

The fourth proportional to 10,646.43, 15,969.65 and 2,855.45 is: 4,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.43 : 15,969.65 = 2,855.45 : x
  2. Step 2: Convert to fraction form
    10,646.43/15,969.65 = 2,855.45/x
  3. Step 3: Cross multiply
    10,646.43x = 15,969.65 × 2,855.45
  4. Step 4: Simplify right side
    10,646.43x = 45,600,442.97
  5. Step 5: Solve for x
    x = 45,600,442.97/10,646.43
  6. Step 6: Final answer
    x = 4,283.17

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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.