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Finding the Fourth Proportional to 8,462.32, 11,678 and 4,927.88

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Solution

The fourth proportional to 8,462.32, 11,678 and 4,927.88 is: 6,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.32 : 11,678 = 4,927.88 : x
  2. Step 2: Convert to fraction form
    8,462.32/11,678 = 4,927.88/x
  3. Step 3: Cross multiply
    8,462.32x = 11,678 × 4,927.88
  4. Step 4: Simplify right side
    8,462.32x = 57,547,782.64
  5. Step 5: Solve for x
    x = 57,547,782.64/8,462.32
  6. Step 6: Final answer
    x = 6,800.47

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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.