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Finding the Fourth Proportional to 10,477.20, 15,714.60 and 3,903.60

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Solution

The fourth proportional to 10,477.20, 15,714.60 and 3,903.60 is: 5,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.20 : 15,714.60 = 3,903.60 : x
  2. Step 2: Convert to fraction form
    10,477.20/15,714.60 = 3,903.60/x
  3. Step 3: Cross multiply
    10,477.20x = 15,714.60 × 3,903.60
  4. Step 4: Simplify right side
    10,477.20x = 61,343,512.56
  5. Step 5: Solve for x
    x = 61,343,512.56/10,477.20
  6. Step 6: Final answer
    x = 5,854.95

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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.