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Finding the Fourth Proportional to 11,277.09, 15,563.25 and 6,561

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Solution

The fourth proportional to 11,277.09, 15,563.25 and 6,561 is: 9,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.09 : 15,563.25 = 6,561 : x
  2. Step 2: Convert to fraction form
    11,277.09/15,563.25 = 6,561/x
  3. Step 3: Cross multiply
    11,277.09x = 15,563.25 × 6,561
  4. Step 4: Simplify right side
    11,277.09x = 102,110,483.25
  5. Step 5: Solve for x
    x = 102,110,483.25/11,277.09
  6. Step 6: Final answer
    x = 9,054.68

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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.