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Finding the Fourth Proportional to 11,802.70, 16,287.83 and 6,497.55

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Solution

The fourth proportional to 11,802.70, 16,287.83 and 6,497.55 is: 8,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.70 : 16,287.83 = 6,497.55 : x
  2. Step 2: Convert to fraction form
    11,802.70/16,287.83 = 6,497.55/x
  3. Step 3: Cross multiply
    11,802.70x = 16,287.83 × 6,497.55
  4. Step 4: Simplify right side
    11,802.70x = 105,830,989.82
  5. Step 5: Solve for x
    x = 105,830,989.82/11,802.70
  6. Step 6: Final answer
    x = 8,966.68

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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.