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Finding the Fourth Proportional to 8,527.37, 11,762.28 and 5,506.34

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Solution

The fourth proportional to 8,527.37, 11,762.28 and 5,506.34 is: 7,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.37 : 11,762.28 = 5,506.34 : x
  2. Step 2: Convert to fraction form
    8,527.37/11,762.28 = 5,506.34/x
  3. Step 3: Cross multiply
    8,527.37x = 11,762.28 × 5,506.34
  4. Step 4: Simplify right side
    8,527.37x = 64,767,112.86
  5. Step 5: Solve for x
    x = 64,767,112.86/8,527.37
  6. Step 6: Final answer
    x = 7,595.20

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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.