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Finding the Fourth Proportional to 7,670.32, 11,505.45 and 3,284.92

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Solution

The fourth proportional to 7,670.32, 11,505.45 and 3,284.92 is: 4,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.32 : 11,505.45 = 3,284.92 : x
  2. Step 2: Convert to fraction form
    7,670.32/11,505.45 = 3,284.92/x
  3. Step 3: Cross multiply
    7,670.32x = 11,505.45 × 3,284.92
  4. Step 4: Simplify right side
    7,670.32x = 37,794,482.81
  5. Step 5: Solve for x
    x = 37,794,482.81/7,670.32
  6. Step 6: Final answer
    x = 4,927.37

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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.