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Finding the Fourth Proportional to 8,461.64, 11,678.48 and 4,926.93

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Solution

The fourth proportional to 8,461.64, 11,678.48 and 4,926.93 is: 6,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.64 : 11,678.48 = 4,926.93 : x
  2. Step 2: Convert to fraction form
    8,461.64/11,678.48 = 4,926.93/x
  3. Step 3: Cross multiply
    8,461.64x = 11,678.48 × 4,926.93
  4. Step 4: Simplify right side
    8,461.64x = 57,539,028.83
  5. Step 5: Solve for x
    x = 57,539,028.83/8,461.64
  6. Step 6: Final answer
    x = 6,799.99

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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.