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Finding the Fourth Proportional to 10,283.88, 15,416.28 and 5,597.04

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Solution

The fourth proportional to 10,283.88, 15,416.28 and 5,597.04 is: 8,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.88 : 15,416.28 = 5,597.04 : x
  2. Step 2: Convert to fraction form
    10,283.88/15,416.28 = 5,597.04/x
  3. Step 3: Cross multiply
    10,283.88x = 15,416.28 × 5,597.04
  4. Step 4: Simplify right side
    10,283.88x = 86,285,535.81
  5. Step 5: Solve for x
    x = 86,285,535.81/10,283.88
  6. Step 6: Final answer
    x = 8,390.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.