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Finding the Fourth Proportional to 10,535.04, 14,538.44 and 5,819.32

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Solution

The fourth proportional to 10,535.04, 14,538.44 and 5,819.32 is: 8,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.04 : 14,538.44 = 5,819.32 : x
  2. Step 2: Convert to fraction form
    10,535.04/14,538.44 = 5,819.32/x
  3. Step 3: Cross multiply
    10,535.04x = 14,538.44 × 5,819.32
  4. Step 4: Simplify right side
    10,535.04x = 84,603,834.66
  5. Step 5: Solve for x
    x = 84,603,834.66/10,535.04
  6. Step 6: Final answer
    x = 8,030.71

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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.