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Finding the Fourth Proportional to 10,523.37, 14,500.29 and 7,160.34

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Solution

The fourth proportional to 10,523.37, 14,500.29 and 7,160.34 is: 9,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.37 : 14,500.29 = 7,160.34 : x
  2. Step 2: Convert to fraction form
    10,523.37/14,500.29 = 7,160.34/x
  3. Step 3: Cross multiply
    10,523.37x = 14,500.29 × 7,160.34
  4. Step 4: Simplify right side
    10,523.37x = 103,827,006.50
  5. Step 5: Solve for x
    x = 103,827,006.50/10,523.37
  6. Step 6: Final answer
    x = 9,866.33

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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.