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Finding the Fourth Proportional to 10,528.82, 14,529.84 and 5,749.10

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Solution

The fourth proportional to 10,528.82, 14,529.84 and 5,749.10 is: 7,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.82 : 14,529.84 = 5,749.10 : x
  2. Step 2: Convert to fraction form
    10,528.82/14,529.84 = 5,749.10/x
  3. Step 3: Cross multiply
    10,528.82x = 14,529.84 × 5,749.10
  4. Step 4: Simplify right side
    10,528.82x = 83,533,503.14
  5. Step 5: Solve for x
    x = 83,533,503.14/10,528.82
  6. Step 6: Final answer
    x = 7,933.80

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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.