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Finding the Fourth Proportional to 10,588.91, 15,888.78 and 4,669.92

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Solution

The fourth proportional to 10,588.91, 15,888.78 and 4,669.92 is: 7,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.91 : 15,888.78 = 4,669.92 : x
  2. Step 2: Convert to fraction form
    10,588.91/15,888.78 = 4,669.92/x
  3. Step 3: Cross multiply
    10,588.91x = 15,888.78 × 4,669.92
  4. Step 4: Simplify right side
    10,588.91x = 74,199,331.50
  5. Step 5: Solve for x
    x = 74,199,331.50/10,588.91
  6. Step 6: Final answer
    x = 7,007.27

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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.