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Finding the Fourth Proportional to 7,870.49, 10,858.83 and 4,466.94

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Solution

The fourth proportional to 7,870.49, 10,858.83 and 4,466.94 is: 6,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.49 : 10,858.83 = 4,466.94 : x
  2. Step 2: Convert to fraction form
    7,870.49/10,858.83 = 4,466.94/x
  3. Step 3: Cross multiply
    7,870.49x = 10,858.83 × 4,466.94
  4. Step 4: Simplify right side
    7,870.49x = 48,505,719.75
  5. Step 5: Solve for x
    x = 48,505,719.75/7,870.49
  6. Step 6: Final answer
    x = 6,162.99

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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.