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Finding the Fourth Proportional to 11,567.68, 17,335.98 and 6,009.46

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Solution

The fourth proportional to 11,567.68, 17,335.98 and 6,009.46 is: 9,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.68 : 17,335.98 = 6,009.46 : x
  2. Step 2: Convert to fraction form
    11,567.68/17,335.98 = 6,009.46/x
  3. Step 3: Cross multiply
    11,567.68x = 17,335.98 × 6,009.46
  4. Step 4: Simplify right side
    11,567.68x = 104,179,878.37
  5. Step 5: Solve for x
    x = 104,179,878.37/11,567.68
  6. Step 6: Final answer
    x = 9,006.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.