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Finding the Fourth Proportional to 7,570.35, 11,356.74 and 3,411.81

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Solution

The fourth proportional to 7,570.35, 11,356.74 and 3,411.81 is: 5,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.35 : 11,356.74 = 3,411.81 : x
  2. Step 2: Convert to fraction form
    7,570.35/11,356.74 = 3,411.81/x
  3. Step 3: Cross multiply
    7,570.35x = 11,356.74 × 3,411.81
  4. Step 4: Simplify right side
    7,570.35x = 38,747,039.10
  5. Step 5: Solve for x
    x = 38,747,039.10/7,570.35
  6. Step 6: Final answer
    x = 5,118.26

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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.