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Finding the Fourth Proportional to 10,647.66, 14,693.62 and 5,931.98

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Solution

The fourth proportional to 10,647.66, 14,693.62 and 5,931.98 is: 8,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.66 : 14,693.62 = 5,931.98 : x
  2. Step 2: Convert to fraction form
    10,647.66/14,693.62 = 5,931.98/x
  3. Step 3: Cross multiply
    10,647.66x = 14,693.62 × 5,931.98
  4. Step 4: Simplify right side
    10,647.66x = 87,162,259.97
  5. Step 5: Solve for x
    x = 87,162,259.97/10,647.66
  6. Step 6: Final answer
    x = 8,186.05

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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.