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Finding the Fourth Proportional to 7,169.24, 9,889.82 and 4,511.64

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Solution

The fourth proportional to 7,169.24, 9,889.82 and 4,511.64 is: 6,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.24 : 9,889.82 = 4,511.64 : x
  2. Step 2: Convert to fraction form
    7,169.24/9,889.82 = 4,511.64/x
  3. Step 3: Cross multiply
    7,169.24x = 9,889.82 × 4,511.64
  4. Step 4: Simplify right side
    7,169.24x = 44,619,307.50
  5. Step 5: Solve for x
    x = 44,619,307.50/7,169.24
  6. Step 6: Final answer
    x = 6,223.72

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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.