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Finding the Fourth Proportional to 7,465.36, 11,181.83 and 7,258

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Solution

The fourth proportional to 7,465.36, 11,181.83 and 7,258 is: 10,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.36 : 11,181.83 = 7,258 : x
  2. Step 2: Convert to fraction form
    7,465.36/11,181.83 = 7,258/x
  3. Step 3: Cross multiply
    7,465.36x = 11,181.83 × 7,258
  4. Step 4: Simplify right side
    7,465.36x = 81,157,722.14
  5. Step 5: Solve for x
    x = 81,157,722.14/7,465.36
  6. Step 6: Final answer
    x = 10,871.24

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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.