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Finding the Fourth Proportional to 7,443.16, 11,165.10 and 4,363

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Solution

The fourth proportional to 7,443.16, 11,165.10 and 4,363 is: 6,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.16 : 11,165.10 = 4,363 : x
  2. Step 2: Convert to fraction form
    7,443.16/11,165.10 = 4,363/x
  3. Step 3: Cross multiply
    7,443.16x = 11,165.10 × 4,363
  4. Step 4: Simplify right side
    7,443.16x = 48,713,331.30
  5. Step 5: Solve for x
    x = 48,713,331.30/7,443.16
  6. Step 6: Final answer
    x = 6,544.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.