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Finding the Fourth Proportional to 7,160, 10,744.32 and 3,056

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Solution

The fourth proportional to 7,160, 10,744.32 and 3,056 is: 4,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160 : 10,744.32 = 3,056 : x
  2. Step 2: Convert to fraction form
    7,160/10,744.32 = 3,056/x
  3. Step 3: Cross multiply
    7,160x = 10,744.32 × 3,056
  4. Step 4: Simplify right side
    7,160x = 32,834,641.92
  5. Step 5: Solve for x
    x = 32,834,641.92/7,160
  6. Step 6: Final answer
    x = 4,585.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.