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Finding the Fourth Proportional to 8,346, 12,494.04 and 5,049.12

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Solution

The fourth proportional to 8,346, 12,494.04 and 5,049.12 is: 7,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346 : 12,494.04 = 5,049.12 : x
  2. Step 2: Convert to fraction form
    8,346/12,494.04 = 5,049.12/x
  3. Step 3: Cross multiply
    8,346x = 12,494.04 × 5,049.12
  4. Step 4: Simplify right side
    8,346x = 63,083,907.24
  5. Step 5: Solve for x
    x = 63,083,907.24/8,346
  6. Step 6: Final answer
    x = 7,558.58

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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.