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Finding the Fourth Proportional to 8,498.30, 11,729.32 and 5,430.18

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Solution

The fourth proportional to 8,498.30, 11,729.32 and 5,430.18 is: 7,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.30 : 11,729.32 = 5,430.18 : x
  2. Step 2: Convert to fraction form
    8,498.30/11,729.32 = 5,430.18/x
  3. Step 3: Cross multiply
    8,498.30x = 11,729.32 × 5,430.18
  4. Step 4: Simplify right side
    8,498.30x = 63,692,318.88
  5. Step 5: Solve for x
    x = 63,692,318.88/8,498.30
  6. Step 6: Final answer
    x = 7,494.71

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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.