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Finding the Fourth Proportional to 10,533.76, 14,536.50 and 5,817.94

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Solution

The fourth proportional to 10,533.76, 14,536.50 and 5,817.94 is: 8,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.76 : 14,536.50 = 5,817.94 : x
  2. Step 2: Convert to fraction form
    10,533.76/14,536.50 = 5,817.94/x
  3. Step 3: Cross multiply
    10,533.76x = 14,536.50 × 5,817.94
  4. Step 4: Simplify right side
    10,533.76x = 84,572,426.65
  5. Step 5: Solve for x
    x = 84,572,426.65/10,533.76
  6. Step 6: Final answer
    x = 8,028.70

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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.