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Finding the Fourth Proportional to 10,532.62, 14,534.74 and 5,816.80

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Solution

The fourth proportional to 10,532.62, 14,534.74 and 5,816.80 is: 8,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.62 : 14,534.74 = 5,816.80 : x
  2. Step 2: Convert to fraction form
    10,532.62/14,534.74 = 5,816.80/x
  3. Step 3: Cross multiply
    10,532.62x = 14,534.74 × 5,816.80
  4. Step 4: Simplify right side
    10,532.62x = 84,545,675.63
  5. Step 5: Solve for x
    x = 84,545,675.63/10,532.62
  6. Step 6: Final answer
    x = 8,027.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.