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Finding the Fourth Proportional to 10,652.98, 14,701.15 and 6,406.49

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Solution

The fourth proportional to 10,652.98, 14,701.15 and 6,406.49 is: 8,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.98 : 14,701.15 = 6,406.49 : x
  2. Step 2: Convert to fraction form
    10,652.98/14,701.15 = 6,406.49/x
  3. Step 3: Cross multiply
    10,652.98x = 14,701.15 × 6,406.49
  4. Step 4: Simplify right side
    10,652.98x = 94,182,696.49
  5. Step 5: Solve for x
    x = 94,182,696.49/10,652.98
  6. Step 6: Final answer
    x = 8,840.97

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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.