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Finding the Fourth Proportional to 7,811.64, 10,783.98 and 6,039.24

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Solution

The fourth proportional to 7,811.64, 10,783.98 and 6,039.24 is: 8,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.64 : 10,783.98 = 6,039.24 : x
  2. Step 2: Convert to fraction form
    7,811.64/10,783.98 = 6,039.24/x
  3. Step 3: Cross multiply
    7,811.64x = 10,783.98 × 6,039.24
  4. Step 4: Simplify right side
    7,811.64x = 65,127,043.38
  5. Step 5: Solve for x
    x = 65,127,043.38/7,811.64
  6. Step 6: Final answer
    x = 8,337.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.