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Finding the Fourth Proportional to 8,492.58, 11,719.80 and 4,715.82

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Solution

The fourth proportional to 8,492.58, 11,719.80 and 4,715.82 is: 6,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.58 : 11,719.80 = 4,715.82 : x
  2. Step 2: Convert to fraction form
    8,492.58/11,719.80 = 4,715.82/x
  3. Step 3: Cross multiply
    8,492.58x = 11,719.80 × 4,715.82
  4. Step 4: Simplify right side
    8,492.58x = 55,268,467.24
  5. Step 5: Solve for x
    x = 55,268,467.24/8,492.58
  6. Step 6: Final answer
    x = 6,507.85

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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.