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Finding the Fourth Proportional to 10,564.40, 14,563.35 and 8,042.13

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Solution

The fourth proportional to 10,564.40, 14,563.35 and 8,042.13 is: 11,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.40 : 14,563.35 = 8,042.13 : x
  2. Step 2: Convert to fraction form
    10,564.40/14,563.35 = 8,042.13/x
  3. Step 3: Cross multiply
    10,564.40x = 14,563.35 × 8,042.13
  4. Step 4: Simplify right side
    10,564.40x = 117,120,353.94
  5. Step 5: Solve for x
    x = 117,120,353.94/10,564.40
  6. Step 6: Final answer
    x = 11,086.32

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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.