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Finding the Fourth Proportional to 10,523.56, 14,526.66 and 6,331

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Solution

The fourth proportional to 10,523.56, 14,526.66 and 6,331 is: 8,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.56 : 14,526.66 = 6,331 : x
  2. Step 2: Convert to fraction form
    10,523.56/14,526.66 = 6,331/x
  3. Step 3: Cross multiply
    10,523.56x = 14,526.66 × 6,331
  4. Step 4: Simplify right side
    10,523.56x = 91,968,284.46
  5. Step 5: Solve for x
    x = 91,968,284.46/10,523.56
  6. Step 6: Final answer
    x = 8,739.27

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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.