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Finding the Fourth Proportional to 10,652.61, 14,696.71 and 6,174.73

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Solution

The fourth proportional to 10,652.61, 14,696.71 and 6,174.73 is: 8,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.61 : 14,696.71 = 6,174.73 : x
  2. Step 2: Convert to fraction form
    10,652.61/14,696.71 = 6,174.73/x
  3. Step 3: Cross multiply
    10,652.61x = 14,696.71 × 6,174.73
  4. Step 4: Simplify right side
    10,652.61x = 90,748,216.14
  5. Step 5: Solve for x
    x = 90,748,216.14/10,652.61
  6. Step 6: Final answer
    x = 8,518.87

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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.