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Finding the Fourth Proportional to 8,438.40, 12,657.84 and 7,476.48

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Solution

The fourth proportional to 8,438.40, 12,657.84 and 7,476.48 is: 11,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.40 : 12,657.84 = 7,476.48 : x
  2. Step 2: Convert to fraction form
    8,438.40/12,657.84 = 7,476.48/x
  3. Step 3: Cross multiply
    8,438.40x = 12,657.84 × 7,476.48
  4. Step 4: Simplify right side
    8,438.40x = 94,636,087.60
  5. Step 5: Solve for x
    x = 94,636,087.60/8,438.40
  6. Step 6: Final answer
    x = 11,214.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.