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Finding the Fourth Proportional to 10,684.61, 14,746.46 and 5,968.89

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Solution

The fourth proportional to 10,684.61, 14,746.46 and 5,968.89 is: 8,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.61 : 14,746.46 = 5,968.89 : x
  2. Step 2: Convert to fraction form
    10,684.61/14,746.46 = 5,968.89/x
  3. Step 3: Cross multiply
    10,684.61x = 14,746.46 × 5,968.89
  4. Step 4: Simplify right side
    10,684.61x = 88,019,967.78
  5. Step 5: Solve for x
    x = 88,019,967.78/10,684.61
  6. Step 6: Final answer
    x = 8,238.02

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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.