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Finding the Fourth Proportional to 11,652.54, 17,478.09 and 4,726.86

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Solution

The fourth proportional to 11,652.54, 17,478.09 and 4,726.86 is: 7,090.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.54 : 17,478.09 = 4,726.86 : x
  2. Step 2: Convert to fraction form
    11,652.54/17,478.09 = 4,726.86/x
  3. Step 3: Cross multiply
    11,652.54x = 17,478.09 × 4,726.86
  4. Step 4: Simplify right side
    11,652.54x = 82,616,484.50
  5. Step 5: Solve for x
    x = 82,616,484.50/11,652.54
  6. Step 6: Final answer
    x = 7,090.00

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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.