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Finding the Fourth Proportional to 7,660.98, 10,569.69 and 4,827.60

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Solution

The fourth proportional to 7,660.98, 10,569.69 and 4,827.60 is: 6,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.98 : 10,569.69 = 4,827.60 : x
  2. Step 2: Convert to fraction form
    7,660.98/10,569.69 = 4,827.60/x
  3. Step 3: Cross multiply
    7,660.98x = 10,569.69 × 4,827.60
  4. Step 4: Simplify right side
    7,660.98x = 51,026,235.44
  5. Step 5: Solve for x
    x = 51,026,235.44/7,660.98
  6. Step 6: Final answer
    x = 6,660.54

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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.