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Finding the Fourth Proportional to 8,330.72, 11,496.53 and 5,186.90

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Solution

The fourth proportional to 8,330.72, 11,496.53 and 5,186.90 is: 7,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.72 : 11,496.53 = 5,186.90 : x
  2. Step 2: Convert to fraction form
    8,330.72/11,496.53 = 5,186.90/x
  3. Step 3: Cross multiply
    8,330.72x = 11,496.53 × 5,186.90
  4. Step 4: Simplify right side
    8,330.72x = 59,631,393.17
  5. Step 5: Solve for x
    x = 59,631,393.17/8,330.72
  6. Step 6: Final answer
    x = 7,158.02

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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.