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Finding the Fourth Proportional to 10,962.88, 16,444 and 4,387.20

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Solution

The fourth proportional to 10,962.88, 16,444 and 4,387.20 is: 6,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.88 : 16,444 = 4,387.20 : x
  2. Step 2: Convert to fraction form
    10,962.88/16,444 = 4,387.20/x
  3. Step 3: Cross multiply
    10,962.88x = 16,444 × 4,387.20
  4. Step 4: Simplify right side
    10,962.88x = 72,143,116.80
  5. Step 5: Solve for x
    x = 72,143,116.80/10,962.88
  6. Step 6: Final answer
    x = 6,580.67

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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.