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Finding the Fourth Proportional to 10,846.97, 14,964.39 and 7,068.75

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Solution

The fourth proportional to 10,846.97, 14,964.39 and 7,068.75 is: 9,751.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.97 : 14,964.39 = 7,068.75 : x
  2. Step 2: Convert to fraction form
    10,846.97/14,964.39 = 7,068.75/x
  3. Step 3: Cross multiply
    10,846.97x = 14,964.39 × 7,068.75
  4. Step 4: Simplify right side
    10,846.97x = 105,779,531.81
  5. Step 5: Solve for x
    x = 105,779,531.81/10,846.97
  6. Step 6: Final answer
    x = 9,751.99

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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.