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Finding the Fourth Proportional to 10,602.36, 14,636.52 and 6,625.68

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Solution

The fourth proportional to 10,602.36, 14,636.52 and 6,625.68 is: 9,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.36 : 14,636.52 = 6,625.68 : x
  2. Step 2: Convert to fraction form
    10,602.36/14,636.52 = 6,625.68/x
  3. Step 3: Cross multiply
    10,602.36x = 14,636.52 × 6,625.68
  4. Step 4: Simplify right side
    10,602.36x = 96,976,897.83
  5. Step 5: Solve for x
    x = 96,976,897.83/10,602.36
  6. Step 6: Final answer
    x = 9,146.73

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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.