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Finding the Fourth Proportional to 7,901.64, 10,904.09 and 4,364.78

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Solution

The fourth proportional to 7,901.64, 10,904.09 and 4,364.78 is: 6,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.64 : 10,904.09 = 4,364.78 : x
  2. Step 2: Convert to fraction form
    7,901.64/10,904.09 = 4,364.78/x
  3. Step 3: Cross multiply
    7,901.64x = 10,904.09 × 4,364.78
  4. Step 4: Simplify right side
    7,901.64x = 47,593,877.61
  5. Step 5: Solve for x
    x = 47,593,877.61/7,901.64
  6. Step 6: Final answer
    x = 6,023.29

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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.