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Finding the Fourth Proportional to 10,885.64, 16,315.50 and 7,580.84

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Solution

The fourth proportional to 10,885.64, 16,315.50 and 7,580.84 is: 11,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.64 : 16,315.50 = 7,580.84 : x
  2. Step 2: Convert to fraction form
    10,885.64/16,315.50 = 7,580.84/x
  3. Step 3: Cross multiply
    10,885.64x = 16,315.50 × 7,580.84
  4. Step 4: Simplify right side
    10,885.64x = 123,685,195.02
  5. Step 5: Solve for x
    x = 123,685,195.02/10,885.64
  6. Step 6: Final answer
    x = 11,362.23

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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.