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Finding the Fourth Proportional to 7,509.32, 11,264.52 and 2,314.52

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Solution

The fourth proportional to 7,509.32, 11,264.52 and 2,314.52 is: 3,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.32 : 11,264.52 = 2,314.52 : x
  2. Step 2: Convert to fraction form
    7,509.32/11,264.52 = 2,314.52/x
  3. Step 3: Cross multiply
    7,509.32x = 11,264.52 × 2,314.52
  4. Step 4: Simplify right side
    7,509.32x = 26,071,956.83
  5. Step 5: Solve for x
    x = 26,071,956.83/7,509.32
  6. Step 6: Final answer
    x = 3,471.95

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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.