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Finding the Fourth Proportional to 8,527.71, 11,768.60 and 4,750.87

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Solution

The fourth proportional to 8,527.71, 11,768.60 and 4,750.87 is: 6,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.71 : 11,768.60 = 4,750.87 : x
  2. Step 2: Convert to fraction form
    8,527.71/11,768.60 = 4,750.87/x
  3. Step 3: Cross multiply
    8,527.71x = 11,768.60 × 4,750.87
  4. Step 4: Simplify right side
    8,527.71x = 55,911,082.74
  5. Step 5: Solve for x
    x = 55,911,082.74/8,527.71
  6. Step 6: Final answer
    x = 6,556.40

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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.