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Finding the Fourth Proportional to 10,499.45, 14,489.91 and 5,783.74

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Solution

The fourth proportional to 10,499.45, 14,489.91 and 5,783.74 is: 7,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.45 : 14,489.91 = 5,783.74 : x
  2. Step 2: Convert to fraction form
    10,499.45/14,489.91 = 5,783.74/x
  3. Step 3: Cross multiply
    10,499.45x = 14,489.91 × 5,783.74
  4. Step 4: Simplify right side
    10,499.45x = 83,805,872.06
  5. Step 5: Solve for x
    x = 83,805,872.06/10,499.45
  6. Step 6: Final answer
    x = 7,981.93

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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.