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Finding the Fourth Proportional to 10,266.74, 15,401.09 and 2,871.20

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Solution

The fourth proportional to 10,266.74, 15,401.09 and 2,871.20 is: 4,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.74 : 15,401.09 = 2,871.20 : x
  2. Step 2: Convert to fraction form
    10,266.74/15,401.09 = 2,871.20/x
  3. Step 3: Cross multiply
    10,266.74x = 15,401.09 × 2,871.20
  4. Step 4: Simplify right side
    10,266.74x = 44,219,598.84
  5. Step 5: Solve for x
    x = 44,219,598.84/10,266.74
  6. Step 6: Final answer
    x = 4,307.07

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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.