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Finding the Fourth Proportional to 10,458.73, 15,683.49 and 4,913.65

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Solution

The fourth proportional to 10,458.73, 15,683.49 and 4,913.65 is: 7,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.73 : 15,683.49 = 4,913.65 : x
  2. Step 2: Convert to fraction form
    10,458.73/15,683.49 = 4,913.65/x
  3. Step 3: Cross multiply
    10,458.73x = 15,683.49 × 4,913.65
  4. Step 4: Simplify right side
    10,458.73x = 77,063,180.64
  5. Step 5: Solve for x
    x = 77,063,180.64/10,458.73
  6. Step 6: Final answer
    x = 7,368.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.