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Finding the Fourth Proportional to 7,813.86, 10,783.86 and 4,669.98

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Solution

The fourth proportional to 7,813.86, 10,783.86 and 4,669.98 is: 6,445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.86 : 10,783.86 = 4,669.98 : x
  2. Step 2: Convert to fraction form
    7,813.86/10,783.86 = 4,669.98/x
  3. Step 3: Cross multiply
    7,813.86x = 10,783.86 × 4,669.98
  4. Step 4: Simplify right side
    7,813.86x = 50,360,410.52
  5. Step 5: Solve for x
    x = 50,360,410.52/7,813.86
  6. Step 6: Final answer
    x = 6,445.01

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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.