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Finding the Fourth Proportional to 7,565.64, 11,348.46 and 2,300.70

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Solution

The fourth proportional to 7,565.64, 11,348.46 and 2,300.70 is: 3,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.64 : 11,348.46 = 2,300.70 : x
  2. Step 2: Convert to fraction form
    7,565.64/11,348.46 = 2,300.70/x
  3. Step 3: Cross multiply
    7,565.64x = 11,348.46 × 2,300.70
  4. Step 4: Simplify right side
    7,565.64x = 26,109,401.92
  5. Step 5: Solve for x
    x = 26,109,401.92/7,565.64
  6. Step 6: Final answer
    x = 3,451.05

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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.