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Finding the Fourth Proportional to 7,892.80, 11,842.32 and 4,970.56

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Solution

The fourth proportional to 7,892.80, 11,842.32 and 4,970.56 is: 7,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.80 : 11,842.32 = 4,970.56 : x
  2. Step 2: Convert to fraction form
    7,892.80/11,842.32 = 4,970.56/x
  3. Step 3: Cross multiply
    7,892.80x = 11,842.32 × 4,970.56
  4. Step 4: Simplify right side
    7,892.80x = 58,862,962.10
  5. Step 5: Solve for x
    x = 58,862,962.10/7,892.80
  6. Step 6: Final answer
    x = 7,457.80

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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.