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Finding the Fourth Proportional to 7,813.40, 10,783.14 and 4,669.52

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Solution

The fourth proportional to 7,813.40, 10,783.14 and 4,669.52 is: 6,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.40 : 10,783.14 = 4,669.52 : x
  2. Step 2: Convert to fraction form
    7,813.40/10,783.14 = 4,669.52/x
  3. Step 3: Cross multiply
    7,813.40x = 10,783.14 × 4,669.52
  4. Step 4: Simplify right side
    7,813.40x = 50,352,087.89
  5. Step 5: Solve for x
    x = 50,352,087.89/7,813.40
  6. Step 6: Final answer
    x = 6,444.32

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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.