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Finding the Fourth Proportional to 10,700.66, 14,767.38 and 5,984.93

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Solution

The fourth proportional to 10,700.66, 14,767.38 and 5,984.93 is: 8,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.66 : 14,767.38 = 5,984.93 : x
  2. Step 2: Convert to fraction form
    10,700.66/14,767.38 = 5,984.93/x
  3. Step 3: Cross multiply
    10,700.66x = 14,767.38 × 5,984.93
  4. Step 4: Simplify right side
    10,700.66x = 88,381,661.75
  5. Step 5: Solve for x
    x = 88,381,661.75/10,700.66
  6. Step 6: Final answer
    x = 8,259.46

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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.