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Finding the Fourth Proportional to 10,874.16, 16,326.48 and 7,200

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Solution

The fourth proportional to 10,874.16, 16,326.48 and 7,200 is: 10,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.16 : 16,326.48 = 7,200 : x
  2. Step 2: Convert to fraction form
    10,874.16/16,326.48 = 7,200/x
  3. Step 3: Cross multiply
    10,874.16x = 16,326.48 × 7,200
  4. Step 4: Simplify right side
    10,874.16x = 117,550,656
  5. Step 5: Solve for x
    x = 117,550,656/10,874.16
  6. Step 6: Final answer
    x = 10,810.09

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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.