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Finding the Fourth Proportional to 10,802.81, 16,210.60 and 4,562.42

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Solution

The fourth proportional to 10,802.81, 16,210.60 and 4,562.42 is: 6,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.81 : 16,210.60 = 4,562.42 : x
  2. Step 2: Convert to fraction form
    10,802.81/16,210.60 = 4,562.42/x
  3. Step 3: Cross multiply
    10,802.81x = 16,210.60 × 4,562.42
  4. Step 4: Simplify right side
    10,802.81x = 73,959,473.19
  5. Step 5: Solve for x
    x = 73,959,473.19/10,802.81
  6. Step 6: Final answer
    x = 6,846.32

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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.