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Finding the Fourth Proportional to 10,598.84, 14,627.08 and 6,122.78

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Solution

The fourth proportional to 10,598.84, 14,627.08 and 6,122.78 is: 8,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.84 : 14,627.08 = 6,122.78 : x
  2. Step 2: Convert to fraction form
    10,598.84/14,627.08 = 6,122.78/x
  3. Step 3: Cross multiply
    10,598.84x = 14,627.08 × 6,122.78
  4. Step 4: Simplify right side
    10,598.84x = 89,558,392.88
  5. Step 5: Solve for x
    x = 89,558,392.88/10,598.84
  6. Step 6: Final answer
    x = 8,449.83

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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.