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Finding the Fourth Proportional to 8,013.98, 11,059.51 and 4,477.42

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Solution

The fourth proportional to 8,013.98, 11,059.51 and 4,477.42 is: 6,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.98 : 11,059.51 = 4,477.42 : x
  2. Step 2: Convert to fraction form
    8,013.98/11,059.51 = 4,477.42/x
  3. Step 3: Cross multiply
    8,013.98x = 11,059.51 × 4,477.42
  4. Step 4: Simplify right side
    8,013.98x = 49,518,032.42
  5. Step 5: Solve for x
    x = 49,518,032.42/8,013.98
  6. Step 6: Final answer
    x = 6,178.95

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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.