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Finding the Fourth Proportional to 10,444.73, 15,667.09 and 4,894.02

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Solution

The fourth proportional to 10,444.73, 15,667.09 and 4,894.02 is: 7,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.73 : 15,667.09 = 4,894.02 : x
  2. Step 2: Convert to fraction form
    10,444.73/15,667.09 = 4,894.02/x
  3. Step 3: Cross multiply
    10,444.73x = 15,667.09 × 4,894.02
  4. Step 4: Simplify right side
    10,444.73x = 76,675,051.80
  5. Step 5: Solve for x
    x = 76,675,051.80/10,444.73
  6. Step 6: Final answer
    x = 7,341.03

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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.