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Finding the Fourth Proportional to 7,009.64, 10,507.14 and 2,852.54

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Solution

The fourth proportional to 7,009.64, 10,507.14 and 2,852.54 is: 4,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.64 : 10,507.14 = 2,852.54 : x
  2. Step 2: Convert to fraction form
    7,009.64/10,507.14 = 2,852.54/x
  3. Step 3: Cross multiply
    7,009.64x = 10,507.14 × 2,852.54
  4. Step 4: Simplify right side
    7,009.64x = 29,972,037.14
  5. Step 5: Solve for x
    x = 29,972,037.14/7,009.64
  6. Step 6: Final answer
    x = 4,275.83

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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.