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Finding the Fourth Proportional to 10,458.90, 15,683.31 and 6,077.61

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Solution

The fourth proportional to 10,458.90, 15,683.31 and 6,077.61 is: 9,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.90 : 15,683.31 = 6,077.61 : x
  2. Step 2: Convert to fraction form
    10,458.90/15,683.31 = 6,077.61/x
  3. Step 3: Cross multiply
    10,458.90x = 15,683.31 × 6,077.61
  4. Step 4: Simplify right side
    10,458.90x = 95,317,041.69
  5. Step 5: Solve for x
    x = 95,317,041.69/10,458.90
  6. Step 6: Final answer
    x = 9,113.49

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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.