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Finding the Fourth Proportional to 11,830.68, 16,318.53 and 7,110

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Solution

The fourth proportional to 11,830.68, 16,318.53 and 7,110 is: 9,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.68 : 16,318.53 = 7,110 : x
  2. Step 2: Convert to fraction form
    11,830.68/16,318.53 = 7,110/x
  3. Step 3: Cross multiply
    11,830.68x = 16,318.53 × 7,110
  4. Step 4: Simplify right side
    11,830.68x = 116,024,748.30
  5. Step 5: Solve for x
    x = 116,024,748.30/11,830.68
  6. Step 6: Final answer
    x = 9,807.11

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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.