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Finding the Fourth Proportional to 10,048.35, 13,865.81 and 5,572.08

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Solution

The fourth proportional to 10,048.35, 13,865.81 and 5,572.08 is: 7,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.35 : 13,865.81 = 5,572.08 : x
  2. Step 2: Convert to fraction form
    10,048.35/13,865.81 = 5,572.08/x
  3. Step 3: Cross multiply
    10,048.35x = 13,865.81 × 5,572.08
  4. Step 4: Simplify right side
    10,048.35x = 77,261,429.39
  5. Step 5: Solve for x
    x = 77,261,429.39/10,048.35
  6. Step 6: Final answer
    x = 7,688.97

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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.