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Finding the Fourth Proportional to 8,775.92, 13,162.58 and 2,852

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Solution

The fourth proportional to 8,775.92, 13,162.58 and 2,852 is: 4,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.92 : 13,162.58 = 2,852 : x
  2. Step 2: Convert to fraction form
    8,775.92/13,162.58 = 2,852/x
  3. Step 3: Cross multiply
    8,775.92x = 13,162.58 × 2,852
  4. Step 4: Simplify right side
    8,775.92x = 37,539,678.16
  5. Step 5: Solve for x
    x = 37,539,678.16/8,775.92
  6. Step 6: Final answer
    x = 4,277.58

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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.