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Finding the Fourth Proportional to 7,457.70, 11,187.90 and 3,075.60

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Solution

The fourth proportional to 7,457.70, 11,187.90 and 3,075.60 is: 4,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.70 : 11,187.90 = 3,075.60 : x
  2. Step 2: Convert to fraction form
    7,457.70/11,187.90 = 3,075.60/x
  3. Step 3: Cross multiply
    7,457.70x = 11,187.90 × 3,075.60
  4. Step 4: Simplify right side
    7,457.70x = 34,409,505.24
  5. Step 5: Solve for x
    x = 34,409,505.24/7,457.70
  6. Step 6: Final answer
    x = 4,613.96

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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.