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Finding the Fourth Proportional to 10,599.87, 14,627.75 and 5,884.14

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Solution

The fourth proportional to 10,599.87, 14,627.75 and 5,884.14 is: 8,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.87 : 14,627.75 = 5,884.14 : x
  2. Step 2: Convert to fraction form
    10,599.87/14,627.75 = 5,884.14/x
  3. Step 3: Cross multiply
    10,599.87x = 14,627.75 × 5,884.14
  4. Step 4: Simplify right side
    10,599.87x = 86,071,699.46
  5. Step 5: Solve for x
    x = 86,071,699.46/10,599.87
  6. Step 6: Final answer
    x = 8,120.07

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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.