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Finding the Fourth Proportional to 8,685.38, 11,985.83 and 4,706.51

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Solution

The fourth proportional to 8,685.38, 11,985.83 and 4,706.51 is: 6,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.38 : 11,985.83 = 4,706.51 : x
  2. Step 2: Convert to fraction form
    8,685.38/11,985.83 = 4,706.51/x
  3. Step 3: Cross multiply
    8,685.38x = 11,985.83 × 4,706.51
  4. Step 4: Simplify right side
    8,685.38x = 56,411,345.29
  5. Step 5: Solve for x
    x = 56,411,345.29/8,685.38
  6. Step 6: Final answer
    x = 6,494.98

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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.