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Finding the Fourth Proportional to 10,647.36, 14,693.34 and 5,931.63

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Solution

The fourth proportional to 10,647.36, 14,693.34 and 5,931.63 is: 8,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.36 : 14,693.34 = 5,931.63 : x
  2. Step 2: Convert to fraction form
    10,647.36/14,693.34 = 5,931.63/x
  3. Step 3: Cross multiply
    10,647.36x = 14,693.34 × 5,931.63
  4. Step 4: Simplify right side
    10,647.36x = 87,155,456.34
  5. Step 5: Solve for x
    x = 87,155,456.34/10,647.36
  6. Step 6: Final answer
    x = 8,185.64

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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.