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Finding the Fourth Proportional to 8,531.90, 11,774.11 and 4,703.67

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Solution

The fourth proportional to 8,531.90, 11,774.11 and 4,703.67 is: 6,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.90 : 11,774.11 = 4,703.67 : x
  2. Step 2: Convert to fraction form
    8,531.90/11,774.11 = 4,703.67/x
  3. Step 3: Cross multiply
    8,531.90x = 11,774.11 × 4,703.67
  4. Step 4: Simplify right side
    8,531.90x = 55,381,527.98
  5. Step 5: Solve for x
    x = 55,381,527.98/8,531.90
  6. Step 6: Final answer
    x = 6,491.11

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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.