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Finding the Fourth Proportional to 11,592.64, 15,998.06 and 7,114.15

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Solution

The fourth proportional to 11,592.64, 15,998.06 and 7,114.15 is: 9,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.64 : 15,998.06 = 7,114.15 : x
  2. Step 2: Convert to fraction form
    11,592.64/15,998.06 = 7,114.15/x
  3. Step 3: Cross multiply
    11,592.64x = 15,998.06 × 7,114.15
  4. Step 4: Simplify right side
    11,592.64x = 113,812,482.99
  5. Step 5: Solve for x
    x = 113,812,482.99/11,592.64
  6. Step 6: Final answer
    x = 9,817.65

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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.