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Finding the Fourth Proportional to 10,783.59, 14,866.51 and 7,379.97

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Solution

The fourth proportional to 10,783.59, 14,866.51 and 7,379.97 is: 10,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.59 : 14,866.51 = 7,379.97 : x
  2. Step 2: Convert to fraction form
    10,783.59/14,866.51 = 7,379.97/x
  3. Step 3: Cross multiply
    10,783.59x = 14,866.51 × 7,379.97
  4. Step 4: Simplify right side
    10,783.59x = 109,714,397.80
  5. Step 5: Solve for x
    x = 109,714,397.80/10,783.59
  6. Step 6: Final answer
    x = 10,174.20

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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.