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Finding the Fourth Proportional to 7,715.60, 11,576.10 and 3,334.40

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Solution

The fourth proportional to 7,715.60, 11,576.10 and 3,334.40 is: 5,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.60 : 11,576.10 = 3,334.40 : x
  2. Step 2: Convert to fraction form
    7,715.60/11,576.10 = 3,334.40/x
  3. Step 3: Cross multiply
    7,715.60x = 11,576.10 × 3,334.40
  4. Step 4: Simplify right side
    7,715.60x = 38,599,347.84
  5. Step 5: Solve for x
    x = 38,599,347.84/7,715.60
  6. Step 6: Final answer
    x = 5,002.77

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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.