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Finding the Fourth Proportional to 7,106.84, 9,813.64 and 4,458.80

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Solution

The fourth proportional to 7,106.84, 9,813.64 and 4,458.80 is: 6,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.84 : 9,813.64 = 4,458.80 : x
  2. Step 2: Convert to fraction form
    7,106.84/9,813.64 = 4,458.80/x
  3. Step 3: Cross multiply
    7,106.84x = 9,813.64 × 4,458.80
  4. Step 4: Simplify right side
    7,106.84x = 43,757,058.03
  5. Step 5: Solve for x
    x = 43,757,058.03/7,106.84
  6. Step 6: Final answer
    x = 6,157.03

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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.