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Finding the Fourth Proportional to 7,913.25, 10,920.29 and 4,770.09

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Solution

The fourth proportional to 7,913.25, 10,920.29 and 4,770.09 is: 6,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.25 : 10,920.29 = 4,770.09 : x
  2. Step 2: Convert to fraction form
    7,913.25/10,920.29 = 4,770.09/x
  3. Step 3: Cross multiply
    7,913.25x = 10,920.29 × 4,770.09
  4. Step 4: Simplify right side
    7,913.25x = 52,090,742.28
  5. Step 5: Solve for x
    x = 52,090,742.28/7,913.25
  6. Step 6: Final answer
    x = 6,582.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.