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Finding the Fourth Proportional to 10,590.60, 15,878.70 and 4,015.80

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Solution

The fourth proportional to 10,590.60, 15,878.70 and 4,015.80 is: 6,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.60 : 15,878.70 = 4,015.80 : x
  2. Step 2: Convert to fraction form
    10,590.60/15,878.70 = 4,015.80/x
  3. Step 3: Cross multiply
    10,590.60x = 15,878.70 × 4,015.80
  4. Step 4: Simplify right side
    10,590.60x = 63,765,683.46
  5. Step 5: Solve for x
    x = 63,765,683.46/10,590.60
  6. Step 6: Final answer
    x = 6,020.97

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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.