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Finding the Fourth Proportional to 8,300.40, 11,454.26 and 4,523.50

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Solution

The fourth proportional to 8,300.40, 11,454.26 and 4,523.50 is: 6,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.40 : 11,454.26 = 4,523.50 : x
  2. Step 2: Convert to fraction form
    8,300.40/11,454.26 = 4,523.50/x
  3. Step 3: Cross multiply
    8,300.40x = 11,454.26 × 4,523.50
  4. Step 4: Simplify right side
    8,300.40x = 51,813,345.11
  5. Step 5: Solve for x
    x = 51,813,345.11/8,300.40
  6. Step 6: Final answer
    x = 6,242.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.