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Finding the Fourth Proportional to 7,824.64, 10,799.04 and 5,038.24

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Solution

The fourth proportional to 7,824.64, 10,799.04 and 5,038.24 is: 6,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.64 : 10,799.04 = 5,038.24 : x
  2. Step 2: Convert to fraction form
    7,824.64/10,799.04 = 5,038.24/x
  3. Step 3: Cross multiply
    7,824.64x = 10,799.04 × 5,038.24
  4. Step 4: Simplify right side
    7,824.64x = 54,408,155.29
  5. Step 5: Solve for x
    x = 54,408,155.29/7,824.64
  6. Step 6: Final answer
    x = 6,953.44

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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.