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Finding the Fourth Proportional to 11,524.26, 15,903.80 and 7,047.93

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Solution

The fourth proportional to 11,524.26, 15,903.80 and 7,047.93 is: 9,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.26 : 15,903.80 = 7,047.93 : x
  2. Step 2: Convert to fraction form
    11,524.26/15,903.80 = 7,047.93/x
  3. Step 3: Cross multiply
    11,524.26x = 15,903.80 × 7,047.93
  4. Step 4: Simplify right side
    11,524.26x = 112,088,860.32
  5. Step 5: Solve for x
    x = 112,088,860.32/11,524.26
  6. Step 6: Final answer
    x = 9,726.34

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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.