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Finding the Fourth Proportional to 11,825.34, 17,706.70 and 7,139.08

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Solution

The fourth proportional to 11,825.34, 17,706.70 and 7,139.08 is: 10,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.34 : 17,706.70 = 7,139.08 : x
  2. Step 2: Convert to fraction form
    11,825.34/17,706.70 = 7,139.08/x
  3. Step 3: Cross multiply
    11,825.34x = 17,706.70 × 7,139.08
  4. Step 4: Simplify right side
    11,825.34x = 126,409,547.84
  5. Step 5: Solve for x
    x = 126,409,547.84/11,825.34
  6. Step 6: Final answer
    x = 10,689.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.