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Finding the Fourth Proportional to 10,137.16, 15,203.10 and 4,290.76

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Solution

The fourth proportional to 10,137.16, 15,203.10 and 4,290.76 is: 6,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.16 : 15,203.10 = 4,290.76 : x
  2. Step 2: Convert to fraction form
    10,137.16/15,203.10 = 4,290.76/x
  3. Step 3: Cross multiply
    10,137.16x = 15,203.10 × 4,290.76
  4. Step 4: Simplify right side
    10,137.16x = 65,232,853.36
  5. Step 5: Solve for x
    x = 65,232,853.36/10,137.16
  6. Step 6: Final answer
    x = 6,435.02

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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.