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Finding the Fourth Proportional to 10,651.64, 15,975.63 and 2,858.63

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Solution

The fourth proportional to 10,651.64, 15,975.63 and 2,858.63 is: 4,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.64 : 15,975.63 = 2,858.63 : x
  2. Step 2: Convert to fraction form
    10,651.64/15,975.63 = 2,858.63/x
  3. Step 3: Cross multiply
    10,651.64x = 15,975.63 × 2,858.63
  4. Step 4: Simplify right side
    10,651.64x = 45,668,335.31
  5. Step 5: Solve for x
    x = 45,668,335.31/10,651.64
  6. Step 6: Final answer
    x = 4,287.45

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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.