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Finding the Fourth Proportional to 12,886.10, 17,775.33 and 7,296.02

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Solution

The fourth proportional to 12,886.10, 17,775.33 and 7,296.02 is: 10,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.10 : 17,775.33 = 7,296.02 : x
  2. Step 2: Convert to fraction form
    12,886.10/17,775.33 = 7,296.02/x
  3. Step 3: Cross multiply
    12,886.10x = 17,775.33 × 7,296.02
  4. Step 4: Simplify right side
    12,886.10x = 129,689,163.19
  5. Step 5: Solve for x
    x = 129,689,163.19/12,886.10
  6. Step 6: Final answer
    x = 10,064.27

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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.