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Finding the Fourth Proportional to 10,534.84, 14,538.18 and 5,819.02

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Solution

The fourth proportional to 10,534.84, 14,538.18 and 5,819.02 is: 8,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.84 : 14,538.18 = 5,819.02 : x
  2. Step 2: Convert to fraction form
    10,534.84/14,538.18 = 5,819.02/x
  3. Step 3: Cross multiply
    10,534.84x = 14,538.18 × 5,819.02
  4. Step 4: Simplify right side
    10,534.84x = 84,597,960.18
  5. Step 5: Solve for x
    x = 84,597,960.18/10,534.84
  6. Step 6: Final answer
    x = 8,030.30

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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.