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Finding the Fourth Proportional to 7,650.84, 10,588.52 and 7,466.77

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Solution

The fourth proportional to 7,650.84, 10,588.52 and 7,466.77 is: 10,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.84 : 10,588.52 = 7,466.77 : x
  2. Step 2: Convert to fraction form
    7,650.84/10,588.52 = 7,466.77/x
  3. Step 3: Cross multiply
    7,650.84x = 10,588.52 × 7,466.77
  4. Step 4: Simplify right side
    7,650.84x = 79,062,043.48
  5. Step 5: Solve for x
    x = 79,062,043.48/7,650.84
  6. Step 6: Final answer
    x = 10,333.77

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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.