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Finding the Fourth Proportional to 10,602.29, 14,633.82 and 6,128.64

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Solution

The fourth proportional to 10,602.29, 14,633.82 and 6,128.64 is: 8,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.29 : 14,633.82 = 6,128.64 : x
  2. Step 2: Convert to fraction form
    10,602.29/14,633.82 = 6,128.64/x
  3. Step 3: Cross multiply
    10,602.29x = 14,633.82 × 6,128.64
  4. Step 4: Simplify right side
    10,602.29x = 89,685,414.60
  5. Step 5: Solve for x
    x = 89,685,414.60/10,602.29
  6. Step 6: Final answer
    x = 8,459.06

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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.