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Finding the Fourth Proportional to 10,499.33, 14,488.94 and 5,783.51

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Solution

The fourth proportional to 10,499.33, 14,488.94 and 5,783.51 is: 7,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.33 : 14,488.94 = 5,783.51 : x
  2. Step 2: Convert to fraction form
    10,499.33/14,488.94 = 5,783.51/x
  3. Step 3: Cross multiply
    10,499.33x = 14,488.94 × 5,783.51
  4. Step 4: Simplify right side
    10,499.33x = 83,796,871.39
  5. Step 5: Solve for x
    x = 83,796,871.39/10,499.33
  6. Step 6: Final answer
    x = 7,981.17

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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.