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Finding the Fourth Proportional to 10,969.42, 16,430.52 and 6,276.25

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Solution

The fourth proportional to 10,969.42, 16,430.52 and 6,276.25 is: 9,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.42 : 16,430.52 = 6,276.25 : x
  2. Step 2: Convert to fraction form
    10,969.42/16,430.52 = 6,276.25/x
  3. Step 3: Cross multiply
    10,969.42x = 16,430.52 × 6,276.25
  4. Step 4: Simplify right side
    10,969.42x = 103,122,051.15
  5. Step 5: Solve for x
    x = 103,122,051.15/10,969.42
  6. Step 6: Final answer
    x = 9,400.87

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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.