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Finding the Fourth Proportional to 11,301.40, 16,952.10 and 7,802.20

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Solution

The fourth proportional to 11,301.40, 16,952.10 and 7,802.20 is: 11,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.40 : 16,952.10 = 7,802.20 : x
  2. Step 2: Convert to fraction form
    11,301.40/16,952.10 = 7,802.20/x
  3. Step 3: Cross multiply
    11,301.40x = 16,952.10 × 7,802.20
  4. Step 4: Simplify right side
    11,301.40x = 132,263,674.62
  5. Step 5: Solve for x
    x = 132,263,674.62/11,301.40
  6. Step 6: Final answer
    x = 11,703.30

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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.