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Finding the Fourth Proportional to 10,765.76, 16,054.43 and 10,667.34

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Solution

The fourth proportional to 10,765.76, 16,054.43 and 10,667.34 is: 15,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.76 : 16,054.43 = 10,667.34 : x
  2. Step 2: Convert to fraction form
    10,765.76/16,054.43 = 10,667.34/x
  3. Step 3: Cross multiply
    10,765.76x = 16,054.43 × 10,667.34
  4. Step 4: Simplify right side
    10,765.76x = 171,258,009.98
  5. Step 5: Solve for x
    x = 171,258,009.98/10,765.76
  6. Step 6: Final answer
    x = 15,907.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.