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Finding the Fourth Proportional to 11,802.85, 16,287.91 and 6,497.67

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Solution

The fourth proportional to 11,802.85, 16,287.91 and 6,497.67 is: 8,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.85 : 16,287.91 = 6,497.67 : x
  2. Step 2: Convert to fraction form
    11,802.85/16,287.91 = 6,497.67/x
  3. Step 3: Cross multiply
    11,802.85x = 16,287.91 × 6,497.67
  4. Step 4: Simplify right side
    11,802.85x = 105,833,435.66
  5. Step 5: Solve for x
    x = 105,833,435.66/11,802.85
  6. Step 6: Final answer
    x = 8,966.77

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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.