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Finding the Fourth Proportional to 10,338.32, 15,507 and 5,139.92

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Solution

The fourth proportional to 10,338.32, 15,507 and 5,139.92 is: 7,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.32 : 15,507 = 5,139.92 : x
  2. Step 2: Convert to fraction form
    10,338.32/15,507 = 5,139.92/x
  3. Step 3: Cross multiply
    10,338.32x = 15,507 × 5,139.92
  4. Step 4: Simplify right side
    10,338.32x = 79,704,739.44
  5. Step 5: Solve for x
    x = 79,704,739.44/10,338.32
  6. Step 6: Final answer
    x = 7,709.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.