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Finding the Fourth Proportional to 10,230.50, 15,345.86 and 3,210.84

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Solution

The fourth proportional to 10,230.50, 15,345.86 and 3,210.84 is: 4,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.50 : 15,345.86 = 3,210.84 : x
  2. Step 2: Convert to fraction form
    10,230.50/15,345.86 = 3,210.84/x
  3. Step 3: Cross multiply
    10,230.50x = 15,345.86 × 3,210.84
  4. Step 4: Simplify right side
    10,230.50x = 49,273,085.07
  5. Step 5: Solve for x
    x = 49,273,085.07/10,230.50
  6. Step 6: Final answer
    x = 4,816.29

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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.