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Finding the Fourth Proportional to 6,952.16, 10,430.93 and 4,180.75

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Solution

The fourth proportional to 6,952.16, 10,430.93 and 4,180.75 is: 6,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.16 : 10,430.93 = 4,180.75 : x
  2. Step 2: Convert to fraction form
    6,952.16/10,430.93 = 4,180.75/x
  3. Step 3: Cross multiply
    6,952.16x = 10,430.93 × 4,180.75
  4. Step 4: Simplify right side
    6,952.16x = 43,609,110.60
  5. Step 5: Solve for x
    x = 43,609,110.60/6,952.16
  6. Step 6: Final answer
    x = 6,272.74

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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.