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Finding the Fourth Proportional to 10,723.77, 16,090.98 and 4,802.40

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Solution

The fourth proportional to 10,723.77, 16,090.98 and 4,802.40 is: 7,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.77 : 16,090.98 = 4,802.40 : x
  2. Step 2: Convert to fraction form
    10,723.77/16,090.98 = 4,802.40/x
  3. Step 3: Cross multiply
    10,723.77x = 16,090.98 × 4,802.40
  4. Step 4: Simplify right side
    10,723.77x = 77,275,322.35
  5. Step 5: Solve for x
    x = 77,275,322.35/10,723.77
  6. Step 6: Final answer
    x = 7,205.98

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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.