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Finding the Fourth Proportional to 11,146.20, 15,384.90 and 6,897.93

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Solution

The fourth proportional to 11,146.20, 15,384.90 and 6,897.93 is: 9,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.20 : 15,384.90 = 6,897.93 : x
  2. Step 2: Convert to fraction form
    11,146.20/15,384.90 = 6,897.93/x
  3. Step 3: Cross multiply
    11,146.20x = 15,384.90 × 6,897.93
  4. Step 4: Simplify right side
    11,146.20x = 106,123,963.26
  5. Step 5: Solve for x
    x = 106,123,963.26/11,146.20
  6. Step 6: Final answer
    x = 9,521.09

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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.