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Finding the Fourth Proportional to 10,194.65, 15,298.47 and 4,648.54

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Solution

The fourth proportional to 10,194.65, 15,298.47 and 4,648.54 is: 6,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.65 : 15,298.47 = 4,648.54 : x
  2. Step 2: Convert to fraction form
    10,194.65/15,298.47 = 4,648.54/x
  3. Step 3: Cross multiply
    10,194.65x = 15,298.47 × 4,648.54
  4. Step 4: Simplify right side
    10,194.65x = 71,115,549.73
  5. Step 5: Solve for x
    x = 71,115,549.73/10,194.65
  6. Step 6: Final answer
    x = 6,975.77

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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.