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Finding the Fourth Proportional to 10,043.40, 15,066 and 2,647.76

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Solution

The fourth proportional to 10,043.40, 15,066 and 2,647.76 is: 3,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.40 : 15,066 = 2,647.76 : x
  2. Step 2: Convert to fraction form
    10,043.40/15,066 = 2,647.76/x
  3. Step 3: Cross multiply
    10,043.40x = 15,066 × 2,647.76
  4. Step 4: Simplify right side
    10,043.40x = 39,891,152.16
  5. Step 5: Solve for x
    x = 39,891,152.16/10,043.40
  6. Step 6: Final answer
    x = 3,971.88

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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.