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Finding the Fourth Proportional to 10,710.40, 16,058.40 and 5,713.60

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Solution

The fourth proportional to 10,710.40, 16,058.40 and 5,713.60 is: 8,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.40 : 16,058.40 = 5,713.60 : x
  2. Step 2: Convert to fraction form
    10,710.40/16,058.40 = 5,713.60/x
  3. Step 3: Cross multiply
    10,710.40x = 16,058.40 × 5,713.60
  4. Step 4: Simplify right side
    10,710.40x = 91,751,274.24
  5. Step 5: Solve for x
    x = 91,751,274.24/10,710.40
  6. Step 6: Final answer
    x = 8,566.56

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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.