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Finding the Fourth Proportional to 10,499.74, 14,490.66 and 7,842.54

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Solution

The fourth proportional to 10,499.74, 14,490.66 and 7,842.54 is: 10,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.74 : 14,490.66 = 7,842.54 : x
  2. Step 2: Convert to fraction form
    10,499.74/14,490.66 = 7,842.54/x
  3. Step 3: Cross multiply
    10,499.74x = 14,490.66 × 7,842.54
  4. Step 4: Simplify right side
    10,499.74x = 113,643,580.68
  5. Step 5: Solve for x
    x = 113,643,580.68/10,499.74
  6. Step 6: Final answer
    x = 10,823.47

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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.