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Finding the Fourth Proportional to 7,509.96, 11,264.94 and 2,894.04

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Solution

The fourth proportional to 7,509.96, 11,264.94 and 2,894.04 is: 4,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.96 : 11,264.94 = 2,894.04 : x
  2. Step 2: Convert to fraction form
    7,509.96/11,264.94 = 2,894.04/x
  3. Step 3: Cross multiply
    7,509.96x = 11,264.94 × 2,894.04
  4. Step 4: Simplify right side
    7,509.96x = 32,601,186.96
  5. Step 5: Solve for x
    x = 32,601,186.96/7,509.96
  6. Step 6: Final answer
    x = 4,341.06

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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.