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Finding the Fourth Proportional to 11,810.90, 16,299.78 and 6,505.72

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Solution

The fourth proportional to 11,810.90, 16,299.78 and 6,505.72 is: 8,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.90 : 16,299.78 = 6,505.72 : x
  2. Step 2: Convert to fraction form
    11,810.90/16,299.78 = 6,505.72/x
  3. Step 3: Cross multiply
    11,810.90x = 16,299.78 × 6,505.72
  4. Step 4: Simplify right side
    11,810.90x = 106,041,804.74
  5. Step 5: Solve for x
    x = 106,041,804.74/11,810.90
  6. Step 6: Final answer
    x = 8,978.30

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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.