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Finding the Fourth Proportional to 11,277.05, 15,564.83 and 6,564.06

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Solution

The fourth proportional to 11,277.05, 15,564.83 and 6,564.06 is: 9,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.05 : 15,564.83 = 6,564.06 : x
  2. Step 2: Convert to fraction form
    11,277.05/15,564.83 = 6,564.06/x
  3. Step 3: Cross multiply
    11,277.05x = 15,564.83 × 6,564.06
  4. Step 4: Simplify right side
    11,277.05x = 102,168,445.19
  5. Step 5: Solve for x
    x = 102,168,445.19/11,277.05
  6. Step 6: Final answer
    x = 9,059.86

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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.