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Finding the Fourth Proportional to 10,622.84, 15,934.13 and 4,775.32

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Solution

The fourth proportional to 10,622.84, 15,934.13 and 4,775.32 is: 7,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.84 : 15,934.13 = 4,775.32 : x
  2. Step 2: Convert to fraction form
    10,622.84/15,934.13 = 4,775.32/x
  3. Step 3: Cross multiply
    10,622.84x = 15,934.13 × 4,775.32
  4. Step 4: Simplify right side
    10,622.84x = 76,090,466.12
  5. Step 5: Solve for x
    x = 76,090,466.12/10,622.84
  6. Step 6: Final answer
    x = 7,162.91

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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.