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Finding the Fourth Proportional to 7,670.06, 11,497.11 and 5,205.08

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Solution

The fourth proportional to 7,670.06, 11,497.11 and 5,205.08 is: 7,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.06 : 11,497.11 = 5,205.08 : x
  2. Step 2: Convert to fraction form
    7,670.06/11,497.11 = 5,205.08/x
  3. Step 3: Cross multiply
    7,670.06x = 11,497.11 × 5,205.08
  4. Step 4: Simplify right side
    7,670.06x = 59,843,377.32
  5. Step 5: Solve for x
    x = 59,843,377.32/7,670.06
  6. Step 6: Final answer
    x = 7,802.20

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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.