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Finding the Fourth Proportional to 7,775.75, 10,705.55 and 6,920.93

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Solution

The fourth proportional to 7,775.75, 10,705.55 and 6,920.93 is: 9,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.75 : 10,705.55 = 6,920.93 : x
  2. Step 2: Convert to fraction form
    7,775.75/10,705.55 = 6,920.93/x
  3. Step 3: Cross multiply
    7,775.75x = 10,705.55 × 6,920.93
  4. Step 4: Simplify right side
    7,775.75x = 74,092,274.03
  5. Step 5: Solve for x
    x = 74,092,274.03/7,775.75
  6. Step 6: Final answer
    x = 9,528.64

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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.