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Finding the Fourth Proportional to 10,266.57, 15,400.83 and 4,721.46

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Solution

The fourth proportional to 10,266.57, 15,400.83 and 4,721.46 is: 7,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.57 : 15,400.83 = 4,721.46 : x
  2. Step 2: Convert to fraction form
    10,266.57/15,400.83 = 4,721.46/x
  3. Step 3: Cross multiply
    10,266.57x = 15,400.83 × 4,721.46
  4. Step 4: Simplify right side
    10,266.57x = 72,714,402.81
  5. Step 5: Solve for x
    x = 72,714,402.81/10,266.57
  6. Step 6: Final answer
    x = 7,082.64

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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.