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Finding the Fourth Proportional to 10,181.84, 15,271.80 and 3,254.48

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Solution

The fourth proportional to 10,181.84, 15,271.80 and 3,254.48 is: 4,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.84 : 15,271.80 = 3,254.48 : x
  2. Step 2: Convert to fraction form
    10,181.84/15,271.80 = 3,254.48/x
  3. Step 3: Cross multiply
    10,181.84x = 15,271.80 × 3,254.48
  4. Step 4: Simplify right side
    10,181.84x = 49,701,767.66
  5. Step 5: Solve for x
    x = 49,701,767.66/10,181.84
  6. Step 6: Final answer
    x = 4,881.41

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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.