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Finding the Fourth Proportional to 7,670.45, 10,588.04 and 6,736.19

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Solution

The fourth proportional to 7,670.45, 10,588.04 and 6,736.19 is: 9,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.45 : 10,588.04 = 6,736.19 : x
  2. Step 2: Convert to fraction form
    7,670.45/10,588.04 = 6,736.19/x
  3. Step 3: Cross multiply
    7,670.45x = 10,588.04 × 6,736.19
  4. Step 4: Simplify right side
    7,670.45x = 71,323,036.53
  5. Step 5: Solve for x
    x = 71,323,036.53/7,670.45
  6. Step 6: Final answer
    x = 9,298.42

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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.