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Finding the Fourth Proportional to 7,756.80, 11,582.66 and 6,094.68

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Solution

The fourth proportional to 7,756.80, 11,582.66 and 6,094.68 is: 9,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.80 : 11,582.66 = 6,094.68 : x
  2. Step 2: Convert to fraction form
    7,756.80/11,582.66 = 6,094.68/x
  3. Step 3: Cross multiply
    7,756.80x = 11,582.66 × 6,094.68
  4. Step 4: Simplify right side
    7,756.80x = 70,592,606.25
  5. Step 5: Solve for x
    x = 70,592,606.25/7,756.80
  6. Step 6: Final answer
    x = 9,100.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.