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Finding the Fourth Proportional to 7,783.90, 11,646.68 and 4,323.58

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Solution

The fourth proportional to 7,783.90, 11,646.68 and 4,323.58 is: 6,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.90 : 11,646.68 = 4,323.58 : x
  2. Step 2: Convert to fraction form
    7,783.90/11,646.68 = 4,323.58/x
  3. Step 3: Cross multiply
    7,783.90x = 11,646.68 × 4,323.58
  4. Step 4: Simplify right side
    7,783.90x = 50,355,352.71
  5. Step 5: Solve for x
    x = 50,355,352.71/7,783.90
  6. Step 6: Final answer
    x = 6,469.17

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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.