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Finding the Fourth Proportional to 10,807.64, 14,914.52 and 6,027.59

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Solution

The fourth proportional to 10,807.64, 14,914.52 and 6,027.59 is: 8,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.64 : 14,914.52 = 6,027.59 : x
  2. Step 2: Convert to fraction form
    10,807.64/14,914.52 = 6,027.59/x
  3. Step 3: Cross multiply
    10,807.64x = 14,914.52 × 6,027.59
  4. Step 4: Simplify right side
    10,807.64x = 89,898,670.81
  5. Step 5: Solve for x
    x = 89,898,670.81/10,807.64
  6. Step 6: Final answer
    x = 8,318.06

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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.