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Finding the Fourth Proportional to 11,422.71, 15,763.68 and 6,706.08

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Solution

The fourth proportional to 11,422.71, 15,763.68 and 6,706.08 is: 9,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.71 : 15,763.68 = 6,706.08 : x
  2. Step 2: Convert to fraction form
    11,422.71/15,763.68 = 6,706.08/x
  3. Step 3: Cross multiply
    11,422.71x = 15,763.68 × 6,706.08
  4. Step 4: Simplify right side
    11,422.71x = 105,712,499.17
  5. Step 5: Solve for x
    x = 105,712,499.17/11,422.71
  6. Step 6: Final answer
    x = 9,254.59

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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.