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Finding the Fourth Proportional to 7,967.19, 11,005.98 and 6,384.36

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Solution

The fourth proportional to 7,967.19, 11,005.98 and 6,384.36 is: 8,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.19 : 11,005.98 = 6,384.36 : x
  2. Step 2: Convert to fraction form
    7,967.19/11,005.98 = 6,384.36/x
  3. Step 3: Cross multiply
    7,967.19x = 11,005.98 × 6,384.36
  4. Step 4: Simplify right side
    7,967.19x = 70,266,138.47
  5. Step 5: Solve for x
    x = 70,266,138.47/7,967.19
  6. Step 6: Final answer
    x = 8,819.44

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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.