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Finding the Fourth Proportional to 10,667.16, 14,733.90 and 7,537.32

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Solution

The fourth proportional to 10,667.16, 14,733.90 and 7,537.32 is: 10,410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.16 : 14,733.90 = 7,537.32 : x
  2. Step 2: Convert to fraction form
    10,667.16/14,733.90 = 7,537.32/x
  3. Step 3: Cross multiply
    10,667.16x = 14,733.90 × 7,537.32
  4. Step 4: Simplify right side
    10,667.16x = 111,054,119.15
  5. Step 5: Solve for x
    x = 111,054,119.15/10,667.16
  6. Step 6: Final answer
    x = 10,410.84

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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.