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Finding the Fourth Proportional to 10,283.58, 15,423.51 and 2,886.22

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Solution

The fourth proportional to 10,283.58, 15,423.51 and 2,886.22 is: 4,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.58 : 15,423.51 = 2,886.22 : x
  2. Step 2: Convert to fraction form
    10,283.58/15,423.51 = 2,886.22/x
  3. Step 3: Cross multiply
    10,283.58x = 15,423.51 × 2,886.22
  4. Step 4: Simplify right side
    10,283.58x = 44,515,643.03
  5. Step 5: Solve for x
    x = 44,515,643.03/10,283.58
  6. Step 6: Final answer
    x = 4,328.81

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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.