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Finding the Fourth Proportional to 10,656.84, 14,706.45 and 6,181.47

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Solution

The fourth proportional to 10,656.84, 14,706.45 and 6,181.47 is: 8,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.84 : 14,706.45 = 6,181.47 : x
  2. Step 2: Convert to fraction form
    10,656.84/14,706.45 = 6,181.47/x
  3. Step 3: Cross multiply
    10,656.84x = 14,706.45 × 6,181.47
  4. Step 4: Simplify right side
    10,656.84x = 90,907,479.48
  5. Step 5: Solve for x
    x = 90,907,479.48/10,656.84
  6. Step 6: Final answer
    x = 8,530.43

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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.