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Finding the Fourth Proportional to 8,346.81, 11,518.61 and 5,203

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Solution

The fourth proportional to 8,346.81, 11,518.61 and 5,203 is: 7,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.81 : 11,518.61 = 5,203 : x
  2. Step 2: Convert to fraction form
    8,346.81/11,518.61 = 5,203/x
  3. Step 3: Cross multiply
    8,346.81x = 11,518.61 × 5,203
  4. Step 4: Simplify right side
    8,346.81x = 59,931,327.83
  5. Step 5: Solve for x
    x = 59,931,327.83/8,346.81
  6. Step 6: Final answer
    x = 7,180.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.