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Finding the Fourth Proportional to 11,810.64, 16,298.48 and 6,505.94

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Solution

The fourth proportional to 11,810.64, 16,298.48 and 6,505.94 is: 8,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.64 : 16,298.48 = 6,505.94 : x
  2. Step 2: Convert to fraction form
    11,810.64/16,298.48 = 6,505.94/x
  3. Step 3: Cross multiply
    11,810.64x = 16,298.48 × 6,505.94
  4. Step 4: Simplify right side
    11,810.64x = 106,036,932.97
  5. Step 5: Solve for x
    x = 106,036,932.97/11,810.64
  6. Step 6: Final answer
    x = 8,978.09

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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.