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Finding the Fourth Proportional to 10,985.67, 15,160.28 and 6,205.82

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Solution

The fourth proportional to 10,985.67, 15,160.28 and 6,205.82 is: 8,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.67 : 15,160.28 = 6,205.82 : x
  2. Step 2: Convert to fraction form
    10,985.67/15,160.28 = 6,205.82/x
  3. Step 3: Cross multiply
    10,985.67x = 15,160.28 × 6,205.82
  4. Step 4: Simplify right side
    10,985.67x = 94,081,862.00
  5. Step 5: Solve for x
    x = 94,081,862.00/10,985.67
  6. Step 6: Final answer
    x = 8,564.05

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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.