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Finding the Fourth Proportional to 8,352.50, 11,526.48 and 4,626.50

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Solution

The fourth proportional to 8,352.50, 11,526.48 and 4,626.50 is: 6,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.50 : 11,526.48 = 4,626.50 : x
  2. Step 2: Convert to fraction form
    8,352.50/11,526.48 = 4,626.50/x
  3. Step 3: Cross multiply
    8,352.50x = 11,526.48 × 4,626.50
  4. Step 4: Simplify right side
    8,352.50x = 53,327,236.59
  5. Step 5: Solve for x
    x = 53,327,236.59/8,352.50
  6. Step 6: Final answer
    x = 6,384.58

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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.