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Finding the Fourth Proportional to 28,225.71, 42,338.52 and 7,165.83

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Solution

The fourth proportional to 28,225.71, 42,338.52 and 7,165.83 is: 10,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,225.71 : 42,338.52 = 7,165.83 : x
  2. Step 2: Convert to fraction form
    28,225.71/42,338.52 = 7,165.83/x
  3. Step 3: Cross multiply
    28,225.71x = 42,338.52 × 7,165.83
  4. Step 4: Simplify right side
    28,225.71x = 303,390,636.77
  5. Step 5: Solve for x
    x = 303,390,636.77/28,225.71
  6. Step 6: Final answer
    x = 10,748.73

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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.