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Finding the Fourth Proportional to 10,695.90, 14,759.91 and 6,219.78

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Solution

The fourth proportional to 10,695.90, 14,759.91 and 6,219.78 is: 8,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.90 : 14,759.91 = 6,219.78 : x
  2. Step 2: Convert to fraction form
    10,695.90/14,759.91 = 6,219.78/x
  3. Step 3: Cross multiply
    10,695.90x = 14,759.91 × 6,219.78
  4. Step 4: Simplify right side
    10,695.90x = 91,803,393.02
  5. Step 5: Solve for x
    x = 91,803,393.02/10,695.90
  6. Step 6: Final answer
    x = 8,583.05

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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.