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Finding the Fourth Proportional to 10,767.44, 14,858.93 and 6,291.87

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Solution

The fourth proportional to 10,767.44, 14,858.93 and 6,291.87 is: 8,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.44 : 14,858.93 = 6,291.87 : x
  2. Step 2: Convert to fraction form
    10,767.44/14,858.93 = 6,291.87/x
  3. Step 3: Cross multiply
    10,767.44x = 14,858.93 × 6,291.87
  4. Step 4: Simplify right side
    10,767.44x = 93,490,424.44
  5. Step 5: Solve for x
    x = 93,490,424.44/10,767.44
  6. Step 6: Final answer
    x = 8,682.70

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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.