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Finding the Fourth Proportional to 11,146.47, 15,383.69 and 6,898.89

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Solution

The fourth proportional to 11,146.47, 15,383.69 and 6,898.89 is: 9,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.47 : 15,383.69 = 6,898.89 : x
  2. Step 2: Convert to fraction form
    11,146.47/15,383.69 = 6,898.89/x
  3. Step 3: Cross multiply
    11,146.47x = 15,383.69 × 6,898.89
  4. Step 4: Simplify right side
    11,146.47x = 106,130,347.64
  5. Step 5: Solve for x
    x = 106,130,347.64/11,146.47
  6. Step 6: Final answer
    x = 9,521.43

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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.