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Finding the Fourth Proportional to 11,572, 15,969.33 and 6,266.80

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Solution

The fourth proportional to 11,572, 15,969.33 and 6,266.80 is: 8,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572 : 15,969.33 = 6,266.80 : x
  2. Step 2: Convert to fraction form
    11,572/15,969.33 = 6,266.80/x
  3. Step 3: Cross multiply
    11,572x = 15,969.33 × 6,266.80
  4. Step 4: Simplify right side
    11,572x = 100,076,597.24
  5. Step 5: Solve for x
    x = 100,076,597.24/11,572
  6. Step 6: Final answer
    x = 8,648.17

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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.