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Finding the Fourth Proportional to 8,145.60, 11,228.64 and 7,022.40

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Solution

The fourth proportional to 8,145.60, 11,228.64 and 7,022.40 is: 9,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.60 : 11,228.64 = 7,022.40 : x
  2. Step 2: Convert to fraction form
    8,145.60/11,228.64 = 7,022.40/x
  3. Step 3: Cross multiply
    8,145.60x = 11,228.64 × 7,022.40
  4. Step 4: Simplify right side
    8,145.60x = 78,852,001.54
  5. Step 5: Solve for x
    x = 78,852,001.54/8,145.60
  6. Step 6: Final answer
    x = 9,680.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.