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Finding the Fourth Proportional to 10,621.48, 15,930.04 and 5,946.16

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Solution

The fourth proportional to 10,621.48, 15,930.04 and 5,946.16 is: 8,918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621.48 : 15,930.04 = 5,946.16 : x
  2. Step 2: Convert to fraction form
    10,621.48/15,930.04 = 5,946.16/x
  3. Step 3: Cross multiply
    10,621.48x = 15,930.04 × 5,946.16
  4. Step 4: Simplify right side
    10,621.48x = 94,722,566.65
  5. Step 5: Solve for x
    x = 94,722,566.65/10,621.48
  6. Step 6: Final answer
    x = 8,918.02

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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.