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Finding the Fourth Proportional to 10,523.45, 14,521.98 and 5,807.63

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Solution

The fourth proportional to 10,523.45, 14,521.98 and 5,807.63 is: 8,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.45 : 14,521.98 = 5,807.63 : x
  2. Step 2: Convert to fraction form
    10,523.45/14,521.98 = 5,807.63/x
  3. Step 3: Cross multiply
    10,523.45x = 14,521.98 × 5,807.63
  4. Step 4: Simplify right side
    10,523.45x = 84,338,344.79
  5. Step 5: Solve for x
    x = 84,338,344.79/10,523.45
  6. Step 6: Final answer
    x = 8,014.32

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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.