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Finding the Fourth Proportional to 7,770.87, 11,646.14 and 3,088.40

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Solution

The fourth proportional to 7,770.87, 11,646.14 and 3,088.40 is: 4,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.87 : 11,646.14 = 3,088.40 : x
  2. Step 2: Convert to fraction form
    7,770.87/11,646.14 = 3,088.40/x
  3. Step 3: Cross multiply
    7,770.87x = 11,646.14 × 3,088.40
  4. Step 4: Simplify right side
    7,770.87x = 35,967,865.10
  5. Step 5: Solve for x
    x = 35,967,865.10/7,770.87
  6. Step 6: Final answer
    x = 4,628.55

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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.