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Finding the Fourth Proportional to 11,077.87, 15,275.01 and 9,055

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Solution

The fourth proportional to 11,077.87, 15,275.01 and 9,055 is: 12,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.87 : 15,275.01 = 9,055 : x
  2. Step 2: Convert to fraction form
    11,077.87/15,275.01 = 9,055/x
  3. Step 3: Cross multiply
    11,077.87x = 15,275.01 × 9,055
  4. Step 4: Simplify right side
    11,077.87x = 138,315,215.55
  5. Step 5: Solve for x
    x = 138,315,215.55/11,077.87
  6. Step 6: Final answer
    x = 12,485.72

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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.