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Finding the Fourth Proportional to 10,533.52, 14,535.86 and 5,817.68

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Solution

The fourth proportional to 10,533.52, 14,535.86 and 5,817.68 is: 8,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.52 : 14,535.86 = 5,817.68 : x
  2. Step 2: Convert to fraction form
    10,533.52/14,535.86 = 5,817.68/x
  3. Step 3: Cross multiply
    10,533.52x = 14,535.86 × 5,817.68
  4. Step 4: Simplify right side
    10,533.52x = 84,564,982.00
  5. Step 5: Solve for x
    x = 84,564,982.00/10,533.52
  6. Step 6: Final answer
    x = 8,028.18

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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.