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Finding the Fourth Proportional to 10,646.19, 14,682.15 and 6,667.65

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Solution

The fourth proportional to 10,646.19, 14,682.15 and 6,667.65 is: 9,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.19 : 14,682.15 = 6,667.65 : x
  2. Step 2: Convert to fraction form
    10,646.19/14,682.15 = 6,667.65/x
  3. Step 3: Cross multiply
    10,646.19x = 14,682.15 × 6,667.65
  4. Step 4: Simplify right side
    10,646.19x = 97,895,437.45
  5. Step 5: Solve for x
    x = 97,895,437.45/10,646.19
  6. Step 6: Final answer
    x = 9,195.35

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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.