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Finding the Fourth Proportional to 10,580.91, 15,869.34 and 4,004.93

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Solution

The fourth proportional to 10,580.91, 15,869.34 and 4,004.93 is: 6,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.91 : 15,869.34 = 4,004.93 : x
  2. Step 2: Convert to fraction form
    10,580.91/15,869.34 = 4,004.93/x
  3. Step 3: Cross multiply
    10,580.91x = 15,869.34 × 4,004.93
  4. Step 4: Simplify right side
    10,580.91x = 63,555,516.50
  5. Step 5: Solve for x
    x = 63,555,516.50/10,580.91
  6. Step 6: Final answer
    x = 6,006.62

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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.