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Finding the Fourth Proportional to 10,052.82, 13,881.18 and 6,522.06

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Solution

The fourth proportional to 10,052.82, 13,881.18 and 6,522.06 is: 9,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.82 : 13,881.18 = 6,522.06 : x
  2. Step 2: Convert to fraction form
    10,052.82/13,881.18 = 6,522.06/x
  3. Step 3: Cross multiply
    10,052.82x = 13,881.18 × 6,522.06
  4. Step 4: Simplify right side
    10,052.82x = 90,533,888.83
  5. Step 5: Solve for x
    x = 90,533,888.83/10,052.82
  6. Step 6: Final answer
    x = 9,005.82

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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.