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Finding the Fourth Proportional to 10,700.96, 14,767.08 and 5,985.68

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Solution

The fourth proportional to 10,700.96, 14,767.08 and 5,985.68 is: 8,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.96 : 14,767.08 = 5,985.68 : x
  2. Step 2: Convert to fraction form
    10,700.96/14,767.08 = 5,985.68/x
  3. Step 3: Cross multiply
    10,700.96x = 14,767.08 × 5,985.68
  4. Step 4: Simplify right side
    10,700.96x = 88,391,015.41
  5. Step 5: Solve for x
    x = 88,391,015.41/10,700.96
  6. Step 6: Final answer
    x = 8,260.10

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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.