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Finding the Fourth Proportional to 11,802.87, 16,282.76 and 7,317.63

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Solution

The fourth proportional to 11,802.87, 16,282.76 and 7,317.63 is: 10,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.87 : 16,282.76 = 7,317.63 : x
  2. Step 2: Convert to fraction form
    11,802.87/16,282.76 = 7,317.63/x
  3. Step 3: Cross multiply
    11,802.87x = 16,282.76 × 7,317.63
  4. Step 4: Simplify right side
    11,802.87x = 119,151,176.47
  5. Step 5: Solve for x
    x = 119,151,176.47/11,802.87
  6. Step 6: Final answer
    x = 10,095.10

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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.