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Finding the Fourth Proportional to 8,071.56, 12,115.82 and 7,153

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Solution

The fourth proportional to 8,071.56, 12,115.82 and 7,153 is: 10,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.56 : 12,115.82 = 7,153 : x
  2. Step 2: Convert to fraction form
    8,071.56/12,115.82 = 7,153/x
  3. Step 3: Cross multiply
    8,071.56x = 12,115.82 × 7,153
  4. Step 4: Simplify right side
    8,071.56x = 86,664,460.46
  5. Step 5: Solve for x
    x = 86,664,460.46/8,071.56
  6. Step 6: Final answer
    x = 10,737.01

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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.