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Finding the Fourth Proportional to 10,357.32, 15,538.04 and 5,973.76

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Solution

The fourth proportional to 10,357.32, 15,538.04 and 5,973.76 is: 8,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.32 : 15,538.04 = 5,973.76 : x
  2. Step 2: Convert to fraction form
    10,357.32/15,538.04 = 5,973.76/x
  3. Step 3: Cross multiply
    10,357.32x = 15,538.04 × 5,973.76
  4. Step 4: Simplify right side
    10,357.32x = 92,820,521.83
  5. Step 5: Solve for x
    x = 92,820,521.83/10,357.32
  6. Step 6: Final answer
    x = 8,961.83

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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.