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Finding the Fourth Proportional to 10,700.16, 16,024.16 and 7,404

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Solution

The fourth proportional to 10,700.16, 16,024.16 and 7,404 is: 11,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.16 : 16,024.16 = 7,404 : x
  2. Step 2: Convert to fraction form
    10,700.16/16,024.16 = 7,404/x
  3. Step 3: Cross multiply
    10,700.16x = 16,024.16 × 7,404
  4. Step 4: Simplify right side
    10,700.16x = 118,642,880.64
  5. Step 5: Solve for x
    x = 118,642,880.64/10,700.16
  6. Step 6: Final answer
    x = 11,087.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.