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Finding the Fourth Proportional to 10,724.84, 14,800.28 and 6,009.15

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Solution

The fourth proportional to 10,724.84, 14,800.28 and 6,009.15 is: 8,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.84 : 14,800.28 = 6,009.15 : x
  2. Step 2: Convert to fraction form
    10,724.84/14,800.28 = 6,009.15/x
  3. Step 3: Cross multiply
    10,724.84x = 14,800.28 × 6,009.15
  4. Step 4: Simplify right side
    10,724.84x = 88,937,072.52
  5. Step 5: Solve for x
    x = 88,937,072.52/10,724.84
  6. Step 6: Final answer
    x = 8,292.63

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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.