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Finding the Fourth Proportional to 7,670.88, 11,506.14 and 2,476.80

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Solution

The fourth proportional to 7,670.88, 11,506.14 and 2,476.80 is: 3,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.88 : 11,506.14 = 2,476.80 : x
  2. Step 2: Convert to fraction form
    7,670.88/11,506.14 = 2,476.80/x
  3. Step 3: Cross multiply
    7,670.88x = 11,506.14 × 2,476.80
  4. Step 4: Simplify right side
    7,670.88x = 28,498,407.55
  5. Step 5: Solve for x
    x = 28,498,407.55/7,670.88
  6. Step 6: Final answer
    x = 3,715.14

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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.