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Finding the Fourth Proportional to 10,304.66, 15,456.72 and 2,909.63

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Solution

The fourth proportional to 10,304.66, 15,456.72 and 2,909.63 is: 4,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.66 : 15,456.72 = 2,909.63 : x
  2. Step 2: Convert to fraction form
    10,304.66/15,456.72 = 2,909.63/x
  3. Step 3: Cross multiply
    10,304.66x = 15,456.72 × 2,909.63
  4. Step 4: Simplify right side
    10,304.66x = 44,973,336.21
  5. Step 5: Solve for x
    x = 44,973,336.21/10,304.66
  6. Step 6: Final answer
    x = 4,364.37

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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.