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Finding the Fourth Proportional to 10,408.65, 14,368.63 and 6,636.88

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Solution

The fourth proportional to 10,408.65, 14,368.63 and 6,636.88 is: 9,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.65 : 14,368.63 = 6,636.88 : x
  2. Step 2: Convert to fraction form
    10,408.65/14,368.63 = 6,636.88/x
  3. Step 3: Cross multiply
    10,408.65x = 14,368.63 × 6,636.88
  4. Step 4: Simplify right side
    10,408.65x = 95,362,873.07
  5. Step 5: Solve for x
    x = 95,362,873.07/10,408.65
  6. Step 6: Final answer
    x = 9,161.89

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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.