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Finding the Fourth Proportional to 7,710.46, 10,644.62 and 5,348.50

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Solution

The fourth proportional to 7,710.46, 10,644.62 and 5,348.50 is: 7,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.46 : 10,644.62 = 5,348.50 : x
  2. Step 2: Convert to fraction form
    7,710.46/10,644.62 = 5,348.50/x
  3. Step 3: Cross multiply
    7,710.46x = 10,644.62 × 5,348.50
  4. Step 4: Simplify right side
    7,710.46x = 56,932,696.72
  5. Step 5: Solve for x
    x = 56,932,696.72/7,710.46
  6. Step 6: Final answer
    x = 7,383.83

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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.