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Finding the Fourth Proportional to 10,523.64, 14,521.90 and 5,808

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Solution

The fourth proportional to 10,523.64, 14,521.90 and 5,808 is: 8,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.64 : 14,521.90 = 5,808 : x
  2. Step 2: Convert to fraction form
    10,523.64/14,521.90 = 5,808/x
  3. Step 3: Cross multiply
    10,523.64x = 14,521.90 × 5,808
  4. Step 4: Simplify right side
    10,523.64x = 84,343,195.20
  5. Step 5: Solve for x
    x = 84,343,195.20/10,523.64
  6. Step 6: Final answer
    x = 8,014.64

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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.