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Finding the Fourth Proportional to 10,499.58, 14,489.07 and 5,783.94

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Solution

The fourth proportional to 10,499.58, 14,489.07 and 5,783.94 is: 7,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.58 : 14,489.07 = 5,783.94 : x
  2. Step 2: Convert to fraction form
    10,499.58/14,489.07 = 5,783.94/x
  3. Step 3: Cross multiply
    10,499.58x = 14,489.07 × 5,783.94
  4. Step 4: Simplify right side
    10,499.58x = 83,803,911.54
  5. Step 5: Solve for x
    x = 83,803,911.54/10,499.58
  6. Step 6: Final answer
    x = 7,981.64

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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.