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Finding the Fourth Proportional to 8,055.68, 12,097.92 and 5,288

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Solution

The fourth proportional to 8,055.68, 12,097.92 and 5,288 is: 7,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.68 : 12,097.92 = 5,288 : x
  2. Step 2: Convert to fraction form
    8,055.68/12,097.92 = 5,288/x
  3. Step 3: Cross multiply
    8,055.68x = 12,097.92 × 5,288
  4. Step 4: Simplify right side
    8,055.68x = 63,973,800.96
  5. Step 5: Solve for x
    x = 63,973,800.96/8,055.68
  6. Step 6: Final answer
    x = 7,941.45

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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.