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Finding the Fourth Proportional to 10,617.95, 14,653.06 and 6,141.99

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Solution

The fourth proportional to 10,617.95, 14,653.06 and 6,141.99 is: 8,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.95 : 14,653.06 = 6,141.99 : x
  2. Step 2: Convert to fraction form
    10,617.95/14,653.06 = 6,141.99/x
  3. Step 3: Cross multiply
    10,617.95x = 14,653.06 × 6,141.99
  4. Step 4: Simplify right side
    10,617.95x = 89,998,987.58
  5. Step 5: Solve for x
    x = 89,998,987.58/10,617.95
  6. Step 6: Final answer
    x = 8,476.12

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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.