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Finding the Fourth Proportional to 11,524.28, 15,903.68 and 7,047.07

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Solution

The fourth proportional to 11,524.28, 15,903.68 and 7,047.07 is: 9,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.28 : 15,903.68 = 7,047.07 : x
  2. Step 2: Convert to fraction form
    11,524.28/15,903.68 = 7,047.07/x
  3. Step 3: Cross multiply
    11,524.28x = 15,903.68 × 7,047.07
  4. Step 4: Simplify right side
    11,524.28x = 112,074,271.22
  5. Step 5: Solve for x
    x = 112,074,271.22/11,524.28
  6. Step 6: Final answer
    x = 9,725.06

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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.