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Finding the Fourth Proportional to 29,895.16, 44,843.28 and 7,709

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Solution

The fourth proportional to 29,895.16, 44,843.28 and 7,709 is: 11,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,895.16 : 44,843.28 = 7,709 : x
  2. Step 2: Convert to fraction form
    29,895.16/44,843.28 = 7,709/x
  3. Step 3: Cross multiply
    29,895.16x = 44,843.28 × 7,709
  4. Step 4: Simplify right side
    29,895.16x = 345,696,845.52
  5. Step 5: Solve for x
    x = 345,696,845.52/29,895.16
  6. Step 6: Final answer
    x = 11,563.64

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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.