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Finding the Fourth Proportional to 10,802.79, 16,206.82 and 4,559.45

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Solution

The fourth proportional to 10,802.79, 16,206.82 and 4,559.45 is: 6,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.79 : 16,206.82 = 4,559.45 : x
  2. Step 2: Convert to fraction form
    10,802.79/16,206.82 = 4,559.45/x
  3. Step 3: Cross multiply
    10,802.79x = 16,206.82 × 4,559.45
  4. Step 4: Simplify right side
    10,802.79x = 73,894,093.02
  5. Step 5: Solve for x
    x = 73,894,093.02/10,802.79
  6. Step 6: Final answer
    x = 6,840.28

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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.