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Finding the Fourth Proportional to 10,287.74, 14,197.08 and 5,572.02

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Solution

The fourth proportional to 10,287.74, 14,197.08 and 5,572.02 is: 7,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.74 : 14,197.08 = 5,572.02 : x
  2. Step 2: Convert to fraction form
    10,287.74/14,197.08 = 5,572.02/x
  3. Step 3: Cross multiply
    10,287.74x = 14,197.08 × 5,572.02
  4. Step 4: Simplify right side
    10,287.74x = 79,106,332.60
  5. Step 5: Solve for x
    x = 79,106,332.60/10,287.74
  6. Step 6: Final answer
    x = 7,689.38

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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.