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Finding the Fourth Proportional to 10,636.14, 14,671.42 and 6,653.98

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Solution

The fourth proportional to 10,636.14, 14,671.42 and 6,653.98 is: 9,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.14 : 14,671.42 = 6,653.98 : x
  2. Step 2: Convert to fraction form
    10,636.14/14,671.42 = 6,653.98/x
  3. Step 3: Cross multiply
    10,636.14x = 14,671.42 × 6,653.98
  4. Step 4: Simplify right side
    10,636.14x = 97,623,335.25
  5. Step 5: Solve for x
    x = 97,623,335.25/10,636.14
  6. Step 6: Final answer
    x = 9,178.46

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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.