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Finding the Fourth Proportional to 7,800.30, 11,700.45 and 4,683.83

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Solution

The fourth proportional to 7,800.30, 11,700.45 and 4,683.83 is: 7,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.30 : 11,700.45 = 4,683.83 : x
  2. Step 2: Convert to fraction form
    7,800.30/11,700.45 = 4,683.83/x
  3. Step 3: Cross multiply
    7,800.30x = 11,700.45 × 4,683.83
  4. Step 4: Simplify right side
    7,800.30x = 54,802,860.22
  5. Step 5: Solve for x
    x = 54,802,860.22/7,800.30
  6. Step 6: Final answer
    x = 7,025.74

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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.