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Finding the Fourth Proportional to 7,826.66, 11,732.08 and 4,907.01

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Solution

The fourth proportional to 7,826.66, 11,732.08 and 4,907.01 is: 7,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.66 : 11,732.08 = 4,907.01 : x
  2. Step 2: Convert to fraction form
    7,826.66/11,732.08 = 4,907.01/x
  3. Step 3: Cross multiply
    7,826.66x = 11,732.08 × 4,907.01
  4. Step 4: Simplify right side
    7,826.66x = 57,569,433.88
  5. Step 5: Solve for x
    x = 57,569,433.88/7,826.66
  6. Step 6: Final answer
    x = 7,355.56

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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.