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Finding the Fourth Proportional to 8,026.34, 12,019.88 and 4,907.66

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Solution

The fourth proportional to 8,026.34, 12,019.88 and 4,907.66 is: 7,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.34 : 12,019.88 = 4,907.66 : x
  2. Step 2: Convert to fraction form
    8,026.34/12,019.88 = 4,907.66/x
  3. Step 3: Cross multiply
    8,026.34x = 12,019.88 × 4,907.66
  4. Step 4: Simplify right side
    8,026.34x = 58,989,484.28
  5. Step 5: Solve for x
    x = 58,989,484.28/8,026.34
  6. Step 6: Final answer
    x = 7,349.49

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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.