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Finding the Fourth Proportional to 12,775.58, 17,631.35 and 7,111.42

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Solution

The fourth proportional to 12,775.58, 17,631.35 and 7,111.42 is: 9,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.58 : 17,631.35 = 7,111.42 : x
  2. Step 2: Convert to fraction form
    12,775.58/17,631.35 = 7,111.42/x
  3. Step 3: Cross multiply
    12,775.58x = 17,631.35 × 7,111.42
  4. Step 4: Simplify right side
    12,775.58x = 125,383,935.02
  5. Step 5: Solve for x
    x = 125,383,935.02/12,775.58
  6. Step 6: Final answer
    x = 9,814.34

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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.