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Finding the Fourth Proportional to 10,510.32, 14,504.16 and 5,794.50

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Solution

The fourth proportional to 10,510.32, 14,504.16 and 5,794.50 is: 7,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.32 : 14,504.16 = 5,794.50 : x
  2. Step 2: Convert to fraction form
    10,510.32/14,504.16 = 5,794.50/x
  3. Step 3: Cross multiply
    10,510.32x = 14,504.16 × 5,794.50
  4. Step 4: Simplify right side
    10,510.32x = 84,044,355.12
  5. Step 5: Solve for x
    x = 84,044,355.12/10,510.32
  6. Step 6: Final answer
    x = 7,996.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.