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Finding the Fourth Proportional to 10,532.32, 14,534.59 and 5,816.59

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Solution

The fourth proportional to 10,532.32, 14,534.59 and 5,816.59 is: 8,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.32 : 14,534.59 = 5,816.59 : x
  2. Step 2: Convert to fraction form
    10,532.32/14,534.59 = 5,816.59/x
  3. Step 3: Cross multiply
    10,532.32x = 14,534.59 × 5,816.59
  4. Step 4: Simplify right side
    10,532.32x = 84,541,750.85
  5. Step 5: Solve for x
    x = 84,541,750.85/10,532.32
  6. Step 6: Final answer
    x = 8,026.89

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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.