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Finding the Fourth Proportional to 10,216.81, 14,113.07 and 8,006.59

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Solution

The fourth proportional to 10,216.81, 14,113.07 and 8,006.59 is: 11,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.81 : 14,113.07 = 8,006.59 : x
  2. Step 2: Convert to fraction form
    10,216.81/14,113.07 = 8,006.59/x
  3. Step 3: Cross multiply
    10,216.81x = 14,113.07 × 8,006.59
  4. Step 4: Simplify right side
    10,216.81x = 112,997,565.13
  5. Step 5: Solve for x
    x = 112,997,565.13/10,216.81
  6. Step 6: Final answer
    x = 11,059.97

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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.