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Finding the Fourth Proportional to 7,640.61, 11,461.32 and 2,710.77

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Solution

The fourth proportional to 7,640.61, 11,461.32 and 2,710.77 is: 4,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.61 : 11,461.32 = 2,710.77 : x
  2. Step 2: Convert to fraction form
    7,640.61/11,461.32 = 2,710.77/x
  3. Step 3: Cross multiply
    7,640.61x = 11,461.32 × 2,710.77
  4. Step 4: Simplify right side
    7,640.61x = 31,069,002.42
  5. Step 5: Solve for x
    x = 31,069,002.42/7,640.61
  6. Step 6: Final answer
    x = 4,066.30

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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.