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Finding the Fourth Proportional to 12,775.93, 17,631.12 and 7,111.06

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Solution

The fourth proportional to 12,775.93, 17,631.12 and 7,111.06 is: 9,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.93 : 17,631.12 = 7,111.06 : x
  2. Step 2: Convert to fraction form
    12,775.93/17,631.12 = 7,111.06/x
  3. Step 3: Cross multiply
    12,775.93x = 17,631.12 × 7,111.06
  4. Step 4: Simplify right side
    12,775.93x = 125,375,952.19
  5. Step 5: Solve for x
    x = 125,375,952.19/12,775.93
  6. Step 6: Final answer
    x = 9,813.45

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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.