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Finding the Fourth Proportional to 10,599.96, 14,627.46 and 5,884.20

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Solution

The fourth proportional to 10,599.96, 14,627.46 and 5,884.20 is: 8,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.96 : 14,627.46 = 5,884.20 : x
  2. Step 2: Convert to fraction form
    10,599.96/14,627.46 = 5,884.20/x
  3. Step 3: Cross multiply
    10,599.96x = 14,627.46 × 5,884.20
  4. Step 4: Simplify right side
    10,599.96x = 86,070,900.13
  5. Step 5: Solve for x
    x = 86,070,900.13/10,599.96
  6. Step 6: Final answer
    x = 8,119.93

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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.