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Finding the Fourth Proportional to 10,159.58, 15,230.56 and 4,533.02

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Solution

The fourth proportional to 10,159.58, 15,230.56 and 4,533.02 is: 6,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.58 : 15,230.56 = 4,533.02 : x
  2. Step 2: Convert to fraction form
    10,159.58/15,230.56 = 4,533.02/x
  3. Step 3: Cross multiply
    10,159.58x = 15,230.56 × 4,533.02
  4. Step 4: Simplify right side
    10,159.58x = 69,040,433.09
  5. Step 5: Solve for x
    x = 69,040,433.09/10,159.58
  6. Step 6: Final answer
    x = 6,795.60

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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.