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Finding the Fourth Proportional to 10,102.60, 13,935.08 and 6,522.12

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Solution

The fourth proportional to 10,102.60, 13,935.08 and 6,522.12 is: 8,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.60 : 13,935.08 = 6,522.12 : x
  2. Step 2: Convert to fraction form
    10,102.60/13,935.08 = 6,522.12/x
  3. Step 3: Cross multiply
    10,102.60x = 13,935.08 × 6,522.12
  4. Step 4: Simplify right side
    10,102.60x = 90,886,263.97
  5. Step 5: Solve for x
    x = 90,886,263.97/10,102.60
  6. Step 6: Final answer
    x = 8,996.32

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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.