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Finding the Fourth Proportional to 7,804.64, 11,711.60 and 2,877.76

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Solution

The fourth proportional to 7,804.64, 11,711.60 and 2,877.76 is: 4,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.64 : 11,711.60 = 2,877.76 : x
  2. Step 2: Convert to fraction form
    7,804.64/11,711.60 = 2,877.76/x
  3. Step 3: Cross multiply
    7,804.64x = 11,711.60 × 2,877.76
  4. Step 4: Simplify right side
    7,804.64x = 33,703,174.02
  5. Step 5: Solve for x
    x = 33,703,174.02/7,804.64
  6. Step 6: Final answer
    x = 4,318.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.