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Finding the Fourth Proportional to 7,486.66, 11,232 and 6,670.54

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Solution

The fourth proportional to 7,486.66, 11,232 and 6,670.54 is: 10,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.66 : 11,232 = 6,670.54 : x
  2. Step 2: Convert to fraction form
    7,486.66/11,232 = 6,670.54/x
  3. Step 3: Cross multiply
    7,486.66x = 11,232 × 6,670.54
  4. Step 4: Simplify right side
    7,486.66x = 74,923,505.28
  5. Step 5: Solve for x
    x = 74,923,505.28/7,486.66
  6. Step 6: Final answer
    x = 10,007.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.