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Finding the Fourth Proportional to 11,465.83, 15,817.98 and 6,988.96

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Solution

The fourth proportional to 11,465.83, 15,817.98 and 6,988.96 is: 9,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.83 : 15,817.98 = 6,988.96 : x
  2. Step 2: Convert to fraction form
    11,465.83/15,817.98 = 6,988.96/x
  3. Step 3: Cross multiply
    11,465.83x = 15,817.98 × 6,988.96
  4. Step 4: Simplify right side
    11,465.83x = 110,551,229.50
  5. Step 5: Solve for x
    x = 110,551,229.50/11,465.83
  6. Step 6: Final answer
    x = 9,641.80

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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.