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Finding the Fourth Proportional to 7,457.95, 11,179.98 and 2,524.16

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Solution

The fourth proportional to 7,457.95, 11,179.98 and 2,524.16 is: 3,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.95 : 11,179.98 = 2,524.16 : x
  2. Step 2: Convert to fraction form
    7,457.95/11,179.98 = 2,524.16/x
  3. Step 3: Cross multiply
    7,457.95x = 11,179.98 × 2,524.16
  4. Step 4: Simplify right side
    7,457.95x = 28,220,058.32
  5. Step 5: Solve for x
    x = 28,220,058.32/7,457.95
  6. Step 6: Final answer
    x = 3,783.89

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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.