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Finding the Fourth Proportional to 10,152.77, 15,225.89 and 3,225.65

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Solution

The fourth proportional to 10,152.77, 15,225.89 and 3,225.65 is: 4,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.77 : 15,225.89 = 3,225.65 : x
  2. Step 2: Convert to fraction form
    10,152.77/15,225.89 = 3,225.65/x
  3. Step 3: Cross multiply
    10,152.77x = 15,225.89 × 3,225.65
  4. Step 4: Simplify right side
    10,152.77x = 49,113,299.82
  5. Step 5: Solve for x
    x = 49,113,299.82/10,152.77
  6. Step 6: Final answer
    x = 4,837.43

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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.