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Finding the Fourth Proportional to 10,283, 14,190.54 and 5,567.32

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Solution

The fourth proportional to 10,283, 14,190.54 and 5,567.32 is: 7,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283 : 14,190.54 = 5,567.32 : x
  2. Step 2: Convert to fraction form
    10,283/14,190.54 = 5,567.32/x
  3. Step 3: Cross multiply
    10,283x = 14,190.54 × 5,567.32
  4. Step 4: Simplify right side
    10,283x = 79,003,277.15
  5. Step 5: Solve for x
    x = 79,003,277.15/10,283
  6. Step 6: Final answer
    x = 7,682.90

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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.