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Finding the Fourth Proportional to 10,074.98, 13,899 and 6,714.52

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Solution

The fourth proportional to 10,074.98, 13,899 and 6,714.52 is: 9,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.98 : 13,899 = 6,714.52 : x
  2. Step 2: Convert to fraction form
    10,074.98/13,899 = 6,714.52/x
  3. Step 3: Cross multiply
    10,074.98x = 13,899 × 6,714.52
  4. Step 4: Simplify right side
    10,074.98x = 93,325,113.48
  5. Step 5: Solve for x
    x = 93,325,113.48/10,074.98
  6. Step 6: Final answer
    x = 9,263.06

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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.