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Finding the Fourth Proportional to 10,846.10, 16,275.28 and 5,002.71

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Solution

The fourth proportional to 10,846.10, 16,275.28 and 5,002.71 is: 7,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.10 : 16,275.28 = 5,002.71 : x
  2. Step 2: Convert to fraction form
    10,846.10/16,275.28 = 5,002.71/x
  3. Step 3: Cross multiply
    10,846.10x = 16,275.28 × 5,002.71
  4. Step 4: Simplify right side
    10,846.10x = 81,420,533.40
  5. Step 5: Solve for x
    x = 81,420,533.40/10,846.10
  6. Step 6: Final answer
    x = 7,506.89

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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.