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Finding the Fourth Proportional to 11,284.84, 15,573.18 and 6,569.56

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Solution

The fourth proportional to 11,284.84, 15,573.18 and 6,569.56 is: 9,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.84 : 15,573.18 = 6,569.56 : x
  2. Step 2: Convert to fraction form
    11,284.84/15,573.18 = 6,569.56/x
  3. Step 3: Cross multiply
    11,284.84x = 15,573.18 × 6,569.56
  4. Step 4: Simplify right side
    11,284.84x = 102,308,940.40
  5. Step 5: Solve for x
    x = 102,308,940.40/11,284.84
  6. Step 6: Final answer
    x = 9,066.05

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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.