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Finding the Fourth Proportional to 7,848.21, 10,817.52 and 7,640.46

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Solution

The fourth proportional to 7,848.21, 10,817.52 and 7,640.46 is: 10,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.21 : 10,817.52 = 7,640.46 : x
  2. Step 2: Convert to fraction form
    7,848.21/10,817.52 = 7,640.46/x
  3. Step 3: Cross multiply
    7,848.21x = 10,817.52 × 7,640.46
  4. Step 4: Simplify right side
    7,848.21x = 82,650,828.86
  5. Step 5: Solve for x
    x = 82,650,828.86/7,848.21
  6. Step 6: Final answer
    x = 10,531.17

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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.