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Finding the Fourth Proportional to 10,017.66, 13,824.62 and 5,541.50

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Solution

The fourth proportional to 10,017.66, 13,824.62 and 5,541.50 is: 7,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.66 : 13,824.62 = 5,541.50 : x
  2. Step 2: Convert to fraction form
    10,017.66/13,824.62 = 5,541.50/x
  3. Step 3: Cross multiply
    10,017.66x = 13,824.62 × 5,541.50
  4. Step 4: Simplify right side
    10,017.66x = 76,609,034.90
  5. Step 5: Solve for x
    x = 76,609,034.90/10,017.66
  6. Step 6: Final answer
    x = 7,647.40

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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.