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Finding the Fourth Proportional to 8,406.14, 11,600.06 and 4,870.49

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Solution

The fourth proportional to 8,406.14, 11,600.06 and 4,870.49 is: 6,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.14 : 11,600.06 = 4,870.49 : x
  2. Step 2: Convert to fraction form
    8,406.14/11,600.06 = 4,870.49/x
  3. Step 3: Cross multiply
    8,406.14x = 11,600.06 × 4,870.49
  4. Step 4: Simplify right side
    8,406.14x = 56,497,893.88
  5. Step 5: Solve for x
    x = 56,497,893.88/8,406.14
  6. Step 6: Final answer
    x = 6,721.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.