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Finding the Fourth Proportional to 8,314.07, 11,459.95 and 7,234.58

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Solution

The fourth proportional to 8,314.07, 11,459.95 and 7,234.58 is: 9,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.07 : 11,459.95 = 7,234.58 : x
  2. Step 2: Convert to fraction form
    8,314.07/11,459.95 = 7,234.58/x
  3. Step 3: Cross multiply
    8,314.07x = 11,459.95 × 7,234.58
  4. Step 4: Simplify right side
    8,314.07x = 82,907,925.07
  5. Step 5: Solve for x
    x = 82,907,925.07/8,314.07
  6. Step 6: Final answer
    x = 9,972.00

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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.