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Finding the Fourth Proportional to 10,535.16, 14,538.54 and 5,819.46

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Solution

The fourth proportional to 10,535.16, 14,538.54 and 5,819.46 is: 8,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.16 : 14,538.54 = 5,819.46 : x
  2. Step 2: Convert to fraction form
    10,535.16/14,538.54 = 5,819.46/x
  3. Step 3: Cross multiply
    10,535.16x = 14,538.54 × 5,819.46
  4. Step 4: Simplify right side
    10,535.16x = 84,606,451.99
  5. Step 5: Solve for x
    x = 84,606,451.99/10,535.16
  6. Step 6: Final answer
    x = 8,030.87

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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.