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Finding the Fourth Proportional to 11,277.84, 15,564.24 and 6,802.68

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Solution

The fourth proportional to 11,277.84, 15,564.24 and 6,802.68 is: 9,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.84 : 15,564.24 = 6,802.68 : x
  2. Step 2: Convert to fraction form
    11,277.84/15,564.24 = 6,802.68/x
  3. Step 3: Cross multiply
    11,277.84x = 15,564.24 × 6,802.68
  4. Step 4: Simplify right side
    11,277.84x = 105,878,544.16
  5. Step 5: Solve for x
    x = 105,878,544.16/11,277.84
  6. Step 6: Final answer
    x = 9,388.19

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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.