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Finding the Fourth Proportional to 11,659.61, 17,482.93 and 4,726.01

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Solution

The fourth proportional to 11,659.61, 17,482.93 and 4,726.01 is: 7,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.61 : 17,482.93 = 4,726.01 : x
  2. Step 2: Convert to fraction form
    11,659.61/17,482.93 = 4,726.01/x
  3. Step 3: Cross multiply
    11,659.61x = 17,482.93 × 4,726.01
  4. Step 4: Simplify right side
    11,659.61x = 82,624,502.01
  5. Step 5: Solve for x
    x = 82,624,502.01/11,659.61
  6. Step 6: Final answer
    x = 7,086.39

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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.