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Finding the Fourth Proportional to 10,291.74, 15,443.76 and 4,448.34

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Solution

The fourth proportional to 10,291.74, 15,443.76 and 4,448.34 is: 6,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.74 : 15,443.76 = 4,448.34 : x
  2. Step 2: Convert to fraction form
    10,291.74/15,443.76 = 4,448.34/x
  3. Step 3: Cross multiply
    10,291.74x = 15,443.76 × 4,448.34
  4. Step 4: Simplify right side
    10,291.74x = 68,699,095.36
  5. Step 5: Solve for x
    x = 68,699,095.36/10,291.74
  6. Step 6: Final answer
    x = 6,675.17

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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.