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Finding the Fourth Proportional to 10,977.41, 15,145.02 and 6,196.77

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Solution

The fourth proportional to 10,977.41, 15,145.02 and 6,196.77 is: 8,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.41 : 15,145.02 = 6,196.77 : x
  2. Step 2: Convert to fraction form
    10,977.41/15,145.02 = 6,196.77/x
  3. Step 3: Cross multiply
    10,977.41x = 15,145.02 × 6,196.77
  4. Step 4: Simplify right side
    10,977.41x = 93,850,205.59
  5. Step 5: Solve for x
    x = 93,850,205.59/10,977.41
  6. Step 6: Final answer
    x = 8,549.40

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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.