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Finding the Fourth Proportional to 10,646.13, 16,005.24 and 8,580.63

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Solution

The fourth proportional to 10,646.13, 16,005.24 and 8,580.63 is: 12,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.13 : 16,005.24 = 8,580.63 : x
  2. Step 2: Convert to fraction form
    10,646.13/16,005.24 = 8,580.63/x
  3. Step 3: Cross multiply
    10,646.13x = 16,005.24 × 8,580.63
  4. Step 4: Simplify right side
    10,646.13x = 137,335,042.50
  5. Step 5: Solve for x
    x = 137,335,042.50/10,646.13
  6. Step 6: Final answer
    x = 12,900.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.