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Finding the Fourth Proportional to 10,314.32, 14,234.06 and 5,598.90

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Solution

The fourth proportional to 10,314.32, 14,234.06 and 5,598.90 is: 7,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.32 : 14,234.06 = 5,598.90 : x
  2. Step 2: Convert to fraction form
    10,314.32/14,234.06 = 5,598.90/x
  3. Step 3: Cross multiply
    10,314.32x = 14,234.06 × 5,598.90
  4. Step 4: Simplify right side
    10,314.32x = 79,695,078.53
  5. Step 5: Solve for x
    x = 79,695,078.53/10,314.32
  6. Step 6: Final answer
    x = 7,726.64

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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.