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Finding the Fourth Proportional to 11,347.69, 16,985.14 and 6,069.50

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Solution

The fourth proportional to 11,347.69, 16,985.14 and 6,069.50 is: 9,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.69 : 16,985.14 = 6,069.50 : x
  2. Step 2: Convert to fraction form
    11,347.69/16,985.14 = 6,069.50/x
  3. Step 3: Cross multiply
    11,347.69x = 16,985.14 × 6,069.50
  4. Step 4: Simplify right side
    11,347.69x = 103,091,334.52
  5. Step 5: Solve for x
    x = 103,091,334.52/11,347.69
  6. Step 6: Final answer
    x = 9,084.79

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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.