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Finding the Fourth Proportional to 10,709.30, 16,059.15 and 4,862.90

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Solution

The fourth proportional to 10,709.30, 16,059.15 and 4,862.90 is: 7,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.30 : 16,059.15 = 4,862.90 : x
  2. Step 2: Convert to fraction form
    10,709.30/16,059.15 = 4,862.90/x
  3. Step 3: Cross multiply
    10,709.30x = 16,059.15 × 4,862.90
  4. Step 4: Simplify right side
    10,709.30x = 78,094,040.54
  5. Step 5: Solve for x
    x = 78,094,040.54/10,709.30
  6. Step 6: Final answer
    x = 7,292.17

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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.