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Finding the Fourth Proportional to 11,503.60, 17,242.43 and 5,664.31

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Solution

The fourth proportional to 11,503.60, 17,242.43 and 5,664.31 is: 8,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.60 : 17,242.43 = 5,664.31 : x
  2. Step 2: Convert to fraction form
    11,503.60/17,242.43 = 5,664.31/x
  3. Step 3: Cross multiply
    11,503.60x = 17,242.43 × 5,664.31
  4. Step 4: Simplify right side
    11,503.60x = 97,666,468.67
  5. Step 5: Solve for x
    x = 97,666,468.67/11,503.60
  6. Step 6: Final answer
    x = 8,490.08

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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.