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Finding the Fourth Proportional to 7,216.58, 10,808.46 and 5,646.80

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Solution

The fourth proportional to 7,216.58, 10,808.46 and 5,646.80 is: 8,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.58 : 10,808.46 = 5,646.80 : x
  2. Step 2: Convert to fraction form
    7,216.58/10,808.46 = 5,646.80/x
  3. Step 3: Cross multiply
    7,216.58x = 10,808.46 × 5,646.80
  4. Step 4: Simplify right side
    7,216.58x = 61,033,157.89
  5. Step 5: Solve for x
    x = 61,033,157.89/7,216.58
  6. Step 6: Final answer
    x = 8,457.36

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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.