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Finding the Fourth Proportional to 10,694.47, 16,030.93 and 4,457.93

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Solution

The fourth proportional to 10,694.47, 16,030.93 and 4,457.93 is: 6,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.47 : 16,030.93 = 4,457.93 : x
  2. Step 2: Convert to fraction form
    10,694.47/16,030.93 = 4,457.93/x
  3. Step 3: Cross multiply
    10,694.47x = 16,030.93 × 4,457.93
  4. Step 4: Simplify right side
    10,694.47x = 71,464,815.00
  5. Step 5: Solve for x
    x = 71,464,815.00/10,694.47
  6. Step 6: Final answer
    x = 6,682.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.