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Finding the Fourth Proportional to 8,316.50, 11,476.77 and 4,590.50

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Solution

The fourth proportional to 8,316.50, 11,476.77 and 4,590.50 is: 6,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.50 : 11,476.77 = 4,590.50 : x
  2. Step 2: Convert to fraction form
    8,316.50/11,476.77 = 4,590.50/x
  3. Step 3: Cross multiply
    8,316.50x = 11,476.77 × 4,590.50
  4. Step 4: Simplify right side
    8,316.50x = 52,684,112.69
  5. Step 5: Solve for x
    x = 52,684,112.69/8,316.50
  6. Step 6: Final answer
    x = 6,334.89

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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.