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Finding the Fourth Proportional to 11,146.55, 15,383.83 and 6,898.98

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Solution

The fourth proportional to 11,146.55, 15,383.83 and 6,898.98 is: 9,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.55 : 15,383.83 = 6,898.98 : x
  2. Step 2: Convert to fraction form
    11,146.55/15,383.83 = 6,898.98/x
  3. Step 3: Cross multiply
    11,146.55x = 15,383.83 × 6,898.98
  4. Step 4: Simplify right side
    11,146.55x = 106,132,718.25
  5. Step 5: Solve for x
    x = 106,132,718.25/11,146.55
  6. Step 6: Final answer
    x = 9,521.57

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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.