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Finding the Fourth Proportional to 8,646.36, 11,931.30 and 4,869.36

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Solution

The fourth proportional to 8,646.36, 11,931.30 and 4,869.36 is: 6,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.36 : 11,931.30 = 4,869.36 : x
  2. Step 2: Convert to fraction form
    8,646.36/11,931.30 = 4,869.36/x
  3. Step 3: Cross multiply
    8,646.36x = 11,931.30 × 4,869.36
  4. Step 4: Simplify right side
    8,646.36x = 58,097,794.97
  5. Step 5: Solve for x
    x = 58,097,794.97/8,646.36
  6. Step 6: Final answer
    x = 6,719.34

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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.