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Finding the Fourth Proportional to 10,203.90, 15,283.14 and 5,818.56

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Solution

The fourth proportional to 10,203.90, 15,283.14 and 5,818.56 is: 8,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.90 : 15,283.14 = 5,818.56 : x
  2. Step 2: Convert to fraction form
    10,203.90/15,283.14 = 5,818.56/x
  3. Step 3: Cross multiply
    10,203.90x = 15,283.14 × 5,818.56
  4. Step 4: Simplify right side
    10,203.90x = 88,925,867.08
  5. Step 5: Solve for x
    x = 88,925,867.08/10,203.90
  6. Step 6: Final answer
    x = 8,714.89

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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.