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Finding the Fourth Proportional to 10,970.75, 15,139.64 and 6,002.75

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Solution

The fourth proportional to 10,970.75, 15,139.64 and 6,002.75 is: 8,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.75 : 15,139.64 = 6,002.75 : x
  2. Step 2: Convert to fraction form
    10,970.75/15,139.64 = 6,002.75/x
  3. Step 3: Cross multiply
    10,970.75x = 15,139.64 × 6,002.75
  4. Step 4: Simplify right side
    10,970.75x = 90,879,474.01
  5. Step 5: Solve for x
    x = 90,879,474.01/10,970.75
  6. Step 6: Final answer
    x = 8,283.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.