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Finding the Fourth Proportional to 41,675.84, 62,513.58 and 10,511

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Solution

The fourth proportional to 41,675.84, 62,513.58 and 10,511 is: 15,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,675.84 : 62,513.58 = 10,511 : x
  2. Step 2: Convert to fraction form
    41,675.84/62,513.58 = 10,511/x
  3. Step 3: Cross multiply
    41,675.84x = 62,513.58 × 10,511
  4. Step 4: Simplify right side
    41,675.84x = 657,080,239.38
  5. Step 5: Solve for x
    x = 657,080,239.38/41,675.84
  6. Step 6: Final answer
    x = 15,766.45

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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.