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Finding the Fourth Proportional to 11,468.00, 15,802.11 and 9,220.85

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Solution

The fourth proportional to 11,468.00, 15,802.11 and 9,220.85 is: 12,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.00 : 15,802.11 = 9,220.85 : x
  2. Step 2: Convert to fraction form
    11,468.00/15,802.11 = 9,220.85/x
  3. Step 3: Cross multiply
    11,468.00x = 15,802.11 × 9,220.85
  4. Step 4: Simplify right side
    11,468.00x = 145,708,806.98
  5. Step 5: Solve for x
    x = 145,708,806.98/11,468.00
  6. Step 6: Final answer
    x = 12,705.69

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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.