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Finding the Fourth Proportional to 10,194, 14,068.29 and 7,671.58

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Solution

The fourth proportional to 10,194, 14,068.29 and 7,671.58 is: 10,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194 : 14,068.29 = 7,671.58 : x
  2. Step 2: Convert to fraction form
    10,194/14,068.29 = 7,671.58/x
  3. Step 3: Cross multiply
    10,194x = 14,068.29 × 7,671.58
  4. Step 4: Simplify right side
    10,194x = 107,926,012.20
  5. Step 5: Solve for x
    x = 107,926,012.20/10,194
  6. Step 6: Final answer
    x = 10,587.21

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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.