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Finding the Fourth Proportional to 8,117.05, 11,200.71 and 4,580.05

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Solution

The fourth proportional to 8,117.05, 11,200.71 and 4,580.05 is: 6,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.05 : 11,200.71 = 4,580.05 : x
  2. Step 2: Convert to fraction form
    8,117.05/11,200.71 = 4,580.05/x
  3. Step 3: Cross multiply
    8,117.05x = 11,200.71 × 4,580.05
  4. Step 4: Simplify right side
    8,117.05x = 51,299,811.84
  5. Step 5: Solve for x
    x = 51,299,811.84/8,117.05
  6. Step 6: Final answer
    x = 6,320.01

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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.