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Finding the Fourth Proportional to 19,037.04, 28,555.52 and 5,186

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Solution

The fourth proportional to 19,037.04, 28,555.52 and 5,186 is: 7,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,037.04 : 28,555.52 = 5,186 : x
  2. Step 2: Convert to fraction form
    19,037.04/28,555.52 = 5,186/x
  3. Step 3: Cross multiply
    19,037.04x = 28,555.52 × 5,186
  4. Step 4: Simplify right side
    19,037.04x = 148,088,926.72
  5. Step 5: Solve for x
    x = 148,088,926.72/19,037.04
  6. Step 6: Final answer
    x = 7,778.99

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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.