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Finding the Fourth Proportional to 10,602.66, 14,633.82 and 6,126.60

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Solution

The fourth proportional to 10,602.66, 14,633.82 and 6,126.60 is: 8,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.66 : 14,633.82 = 6,126.60 : x
  2. Step 2: Convert to fraction form
    10,602.66/14,633.82 = 6,126.60/x
  3. Step 3: Cross multiply
    10,602.66x = 14,633.82 × 6,126.60
  4. Step 4: Simplify right side
    10,602.66x = 89,655,561.61
  5. Step 5: Solve for x
    x = 89,655,561.61/10,602.66
  6. Step 6: Final answer
    x = 8,455.95

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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.