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Finding the Fourth Proportional to 8,646.84, 11,931.66 and 4,869.72

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Solution

The fourth proportional to 8,646.84, 11,931.66 and 4,869.72 is: 6,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.84 : 11,931.66 = 4,869.72 : x
  2. Step 2: Convert to fraction form
    8,646.84/11,931.66 = 4,869.72/x
  3. Step 3: Cross multiply
    8,646.84x = 11,931.66 × 4,869.72
  4. Step 4: Simplify right side
    8,646.84x = 58,103,843.34
  5. Step 5: Solve for x
    x = 58,103,843.34/8,646.84
  6. Step 6: Final answer
    x = 6,719.66

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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.