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Finding the Fourth Proportional to 10,527.16, 14,529.17 and 8,005.23

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Solution

The fourth proportional to 10,527.16, 14,529.17 and 8,005.23 is: 11,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.16 : 14,529.17 = 8,005.23 : x
  2. Step 2: Convert to fraction form
    10,527.16/14,529.17 = 8,005.23/x
  3. Step 3: Cross multiply
    10,527.16x = 14,529.17 × 8,005.23
  4. Step 4: Simplify right side
    10,527.16x = 116,309,347.56
  5. Step 5: Solve for x
    x = 116,309,347.56/10,527.16
  6. Step 6: Final answer
    x = 11,048.50

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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.