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Finding the Fourth Proportional to 7,605.71, 11,409.29 and 2,059.11

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Solution

The fourth proportional to 7,605.71, 11,409.29 and 2,059.11 is: 3,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.71 : 11,409.29 = 2,059.11 : x
  2. Step 2: Convert to fraction form
    7,605.71/11,409.29 = 2,059.11/x
  3. Step 3: Cross multiply
    7,605.71x = 11,409.29 × 2,059.11
  4. Step 4: Simplify right side
    7,605.71x = 23,492,972.84
  5. Step 5: Solve for x
    x = 23,492,972.84/7,605.71
  6. Step 6: Final answer
    x = 3,088.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.