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Finding the Fourth Proportional to 10,403.80, 15,605.78 and 4,164.35

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Solution

The fourth proportional to 10,403.80, 15,605.78 and 4,164.35 is: 6,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.80 : 15,605.78 = 4,164.35 : x
  2. Step 2: Convert to fraction form
    10,403.80/15,605.78 = 4,164.35/x
  3. Step 3: Cross multiply
    10,403.80x = 15,605.78 × 4,164.35
  4. Step 4: Simplify right side
    10,403.80x = 64,987,831.09
  5. Step 5: Solve for x
    x = 64,987,831.09/10,403.80
  6. Step 6: Final answer
    x = 6,246.55

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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.