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Finding the Fourth Proportional to 11,808.64, 17,715.36 and 4,883.14

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Solution

The fourth proportional to 11,808.64, 17,715.36 and 4,883.14 is: 7,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.64 : 17,715.36 = 4,883.14 : x
  2. Step 2: Convert to fraction form
    11,808.64/17,715.36 = 4,883.14/x
  3. Step 3: Cross multiply
    11,808.64x = 17,715.36 × 4,883.14
  4. Step 4: Simplify right side
    11,808.64x = 86,506,583.03
  5. Step 5: Solve for x
    x = 86,506,583.03/11,808.64
  6. Step 6: Final answer
    x = 7,325.70

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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.