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Finding the Fourth Proportional to 10,784.61, 16,063.11 and 10,304.82

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Solution

The fourth proportional to 10,784.61, 16,063.11 and 10,304.82 is: 15,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.61 : 16,063.11 = 10,304.82 : x
  2. Step 2: Convert to fraction form
    10,784.61/16,063.11 = 10,304.82/x
  3. Step 3: Cross multiply
    10,784.61x = 16,063.11 × 10,304.82
  4. Step 4: Simplify right side
    10,784.61x = 165,527,457.19
  5. Step 5: Solve for x
    x = 165,527,457.19/10,784.61
  6. Step 6: Final answer
    x = 15,348.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.