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Finding the Fourth Proportional to 7,322, 10,955.46 and 5,135

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Solution

The fourth proportional to 7,322, 10,955.46 and 5,135 is: 7,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322 : 10,955.46 = 5,135 : x
  2. Step 2: Convert to fraction form
    7,322/10,955.46 = 5,135/x
  3. Step 3: Cross multiply
    7,322x = 10,955.46 × 5,135
  4. Step 4: Simplify right side
    7,322x = 56,256,287.10
  5. Step 5: Solve for x
    x = 56,256,287.10/7,322
  6. Step 6: Final answer
    x = 7,683.19

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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.