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Finding the Fourth Proportional to 10,534.94, 14,538.12 and 5,819.28

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Solution

The fourth proportional to 10,534.94, 14,538.12 and 5,819.28 is: 8,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.94 : 14,538.12 = 5,819.28 : x
  2. Step 2: Convert to fraction form
    10,534.94/14,538.12 = 5,819.28/x
  3. Step 3: Cross multiply
    10,534.94x = 14,538.12 × 5,819.28
  4. Step 4: Simplify right side
    10,534.94x = 84,601,390.95
  5. Step 5: Solve for x
    x = 84,601,390.95/10,534.94
  6. Step 6: Final answer
    x = 8,030.55

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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.