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Finding the Fourth Proportional to 11,748.88, 16,218.54 and 7,032.28

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Solution

The fourth proportional to 11,748.88, 16,218.54 and 7,032.28 is: 9,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.88 : 16,218.54 = 7,032.28 : x
  2. Step 2: Convert to fraction form
    11,748.88/16,218.54 = 7,032.28/x
  3. Step 3: Cross multiply
    11,748.88x = 16,218.54 × 7,032.28
  4. Step 4: Simplify right side
    11,748.88x = 114,053,314.47
  5. Step 5: Solve for x
    x = 114,053,314.47/11,748.88
  6. Step 6: Final answer
    x = 9,707.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.