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Finding the Fourth Proportional to 10,448.39, 15,678.06 and 4,209.98

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Solution

The fourth proportional to 10,448.39, 15,678.06 and 4,209.98 is: 6,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.39 : 15,678.06 = 4,209.98 : x
  2. Step 2: Convert to fraction form
    10,448.39/15,678.06 = 4,209.98/x
  3. Step 3: Cross multiply
    10,448.39x = 15,678.06 × 4,209.98
  4. Step 4: Simplify right side
    10,448.39x = 66,004,224.86
  5. Step 5: Solve for x
    x = 66,004,224.86/10,448.39
  6. Step 6: Final answer
    x = 6,317.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.