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Finding the Fourth Proportional to 10,712.42, 14,784.00 and 7,892.68

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Solution

The fourth proportional to 10,712.42, 14,784.00 and 7,892.68 is: 10,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.42 : 14,784.00 = 7,892.68 : x
  2. Step 2: Convert to fraction form
    10,712.42/14,784.00 = 7,892.68/x
  3. Step 3: Cross multiply
    10,712.42x = 14,784.00 × 7,892.68
  4. Step 4: Simplify right side
    10,712.42x = 116,685,314.56
  5. Step 5: Solve for x
    x = 116,685,314.56/10,712.42
  6. Step 6: Final answer
    x = 10,892.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.