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Finding the Fourth Proportional to 7,100.19, 9,790.57 and 4,833

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Solution

The fourth proportional to 7,100.19, 9,790.57 and 4,833 is: 6,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.19 : 9,790.57 = 4,833 : x
  2. Step 2: Convert to fraction form
    7,100.19/9,790.57 = 4,833/x
  3. Step 3: Cross multiply
    7,100.19x = 9,790.57 × 4,833
  4. Step 4: Simplify right side
    7,100.19x = 47,317,830.85
  5. Step 5: Solve for x
    x = 47,317,830.85/7,100.19
  6. Step 6: Final answer
    x = 6,664.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.