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Finding the Fourth Proportional to 8,290.40, 11,440.46 and 4,513.50

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Solution

The fourth proportional to 8,290.40, 11,440.46 and 4,513.50 is: 6,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.40 : 11,440.46 = 4,513.50 : x
  2. Step 2: Convert to fraction form
    8,290.40/11,440.46 = 4,513.50/x
  3. Step 3: Cross multiply
    8,290.40x = 11,440.46 × 4,513.50
  4. Step 4: Simplify right side
    8,290.40x = 51,636,459.01
  5. Step 5: Solve for x
    x = 51,636,459.01/8,290.40
  6. Step 6: Final answer
    x = 6,228.47

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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.