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Finding the Fourth Proportional to 10,266.84, 15,404.43 and 3,693.54

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Solution

The fourth proportional to 10,266.84, 15,404.43 and 3,693.54 is: 5,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.84 : 15,404.43 = 3,693.54 : x
  2. Step 2: Convert to fraction form
    10,266.84/15,404.43 = 3,693.54/x
  3. Step 3: Cross multiply
    10,266.84x = 15,404.43 × 3,693.54
  4. Step 4: Simplify right side
    10,266.84x = 56,896,878.38
  5. Step 5: Solve for x
    x = 56,896,878.38/10,266.84
  6. Step 6: Final answer
    x = 5,541.81

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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.