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Finding the Fourth Proportional to 10,356, 14,295.72 and 7,003.44

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Solution

The fourth proportional to 10,356, 14,295.72 and 7,003.44 is: 9,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356 : 14,295.72 = 7,003.44 : x
  2. Step 2: Convert to fraction form
    10,356/14,295.72 = 7,003.44/x
  3. Step 3: Cross multiply
    10,356x = 14,295.72 × 7,003.44
  4. Step 4: Simplify right side
    10,356x = 100,119,217.28
  5. Step 5: Solve for x
    x = 100,119,217.28/10,356
  6. Step 6: Final answer
    x = 9,667.75

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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.