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Finding the Fourth Proportional to 7,457.04, 11,178 and 4,824

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Solution

The fourth proportional to 7,457.04, 11,178 and 4,824 is: 7,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.04 : 11,178 = 4,824 : x
  2. Step 2: Convert to fraction form
    7,457.04/11,178 = 4,824/x
  3. Step 3: Cross multiply
    7,457.04x = 11,178 × 4,824
  4. Step 4: Simplify right side
    7,457.04x = 53,922,672
  5. Step 5: Solve for x
    x = 53,922,672/7,457.04
  6. Step 6: Final answer
    x = 7,231.11

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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.