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Finding the Fourth Proportional to 10,646.16, 14,690.86 and 6,109.35

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Solution

The fourth proportional to 10,646.16, 14,690.86 and 6,109.35 is: 8,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.16 : 14,690.86 = 6,109.35 : x
  2. Step 2: Convert to fraction form
    10,646.16/14,690.86 = 6,109.35/x
  3. Step 3: Cross multiply
    10,646.16x = 14,690.86 × 6,109.35
  4. Step 4: Simplify right side
    10,646.16x = 89,751,605.54
  5. Step 5: Solve for x
    x = 89,751,605.54/10,646.16
  6. Step 6: Final answer
    x = 8,430.42

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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.