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Finding the Fourth Proportional to 7,580.96, 11,370.74 and 2,898.96

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Solution

The fourth proportional to 7,580.96, 11,370.74 and 2,898.96 is: 4,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.96 : 11,370.74 = 2,898.96 : x
  2. Step 2: Convert to fraction form
    7,580.96/11,370.74 = 2,898.96/x
  3. Step 3: Cross multiply
    7,580.96x = 11,370.74 × 2,898.96
  4. Step 4: Simplify right side
    7,580.96x = 32,963,320.43
  5. Step 5: Solve for x
    x = 32,963,320.43/7,580.96
  6. Step 6: Final answer
    x = 4,348.17

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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.