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Finding the Fourth Proportional to 8,408.24, 11,602.16 and 4,870.80

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Solution

The fourth proportional to 8,408.24, 11,602.16 and 4,870.80 is: 6,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.24 : 11,602.16 = 4,870.80 : x
  2. Step 2: Convert to fraction form
    8,408.24/11,602.16 = 4,870.80/x
  3. Step 3: Cross multiply
    8,408.24x = 11,602.16 × 4,870.80
  4. Step 4: Simplify right side
    8,408.24x = 56,511,800.93
  5. Step 5: Solve for x
    x = 56,511,800.93/8,408.24
  6. Step 6: Final answer
    x = 6,721.00

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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.