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Finding the Fourth Proportional to 7,356.06, 11,034 and 3,457.71

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Solution

The fourth proportional to 7,356.06, 11,034 and 3,457.71 is: 5,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.06 : 11,034 = 3,457.71 : x
  2. Step 2: Convert to fraction form
    7,356.06/11,034 = 3,457.71/x
  3. Step 3: Cross multiply
    7,356.06x = 11,034 × 3,457.71
  4. Step 4: Simplify right side
    7,356.06x = 38,152,372.14
  5. Step 5: Solve for x
    x = 38,152,372.14/7,356.06
  6. Step 6: Final answer
    x = 5,186.52

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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.