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Finding the Fourth Proportional to 10,374.58, 14,318.12 and 5,775.82

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Solution

The fourth proportional to 10,374.58, 14,318.12 and 5,775.82 is: 7,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.58 : 14,318.12 = 5,775.82 : x
  2. Step 2: Convert to fraction form
    10,374.58/14,318.12 = 5,775.82/x
  3. Step 3: Cross multiply
    10,374.58x = 14,318.12 × 5,775.82
  4. Step 4: Simplify right side
    10,374.58x = 82,698,883.86
  5. Step 5: Solve for x
    x = 82,698,883.86/10,374.58
  6. Step 6: Final answer
    x = 7,971.30

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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.