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Finding the Fourth Proportional to 11,519, 15,827.30 and 9,157.04

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Solution

The fourth proportional to 11,519, 15,827.30 and 9,157.04 is: 12,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519 : 15,827.30 = 9,157.04 : x
  2. Step 2: Convert to fraction form
    11,519/15,827.30 = 9,157.04/x
  3. Step 3: Cross multiply
    11,519x = 15,827.30 × 9,157.04
  4. Step 4: Simplify right side
    11,519x = 144,931,219.19
  5. Step 5: Solve for x
    x = 144,931,219.19/11,519
  6. Step 6: Final answer
    x = 12,581.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.