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Finding the Fourth Proportional to 10,203.30, 15,292.13 and 4,655.61

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Solution

The fourth proportional to 10,203.30, 15,292.13 and 4,655.61 is: 6,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.30 : 15,292.13 = 4,655.61 : x
  2. Step 2: Convert to fraction form
    10,203.30/15,292.13 = 4,655.61/x
  3. Step 3: Cross multiply
    10,203.30x = 15,292.13 × 4,655.61
  4. Step 4: Simplify right side
    10,203.30x = 71,194,170.07
  5. Step 5: Solve for x
    x = 71,194,170.07/10,203.30
  6. Step 6: Final answer
    x = 6,977.56

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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.