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Finding the Fourth Proportional to 8,547.76, 11,796.50 and 4,771.67

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Solution

The fourth proportional to 8,547.76, 11,796.50 and 4,771.67 is: 6,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.76 : 11,796.50 = 4,771.67 : x
  2. Step 2: Convert to fraction form
    8,547.76/11,796.50 = 4,771.67/x
  3. Step 3: Cross multiply
    8,547.76x = 11,796.50 × 4,771.67
  4. Step 4: Simplify right side
    8,547.76x = 56,288,922.31
  5. Step 5: Solve for x
    x = 56,288,922.31/8,547.76
  6. Step 6: Final answer
    x = 6,585.23

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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.