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Finding the Fourth Proportional to 10,575.90, 14,594.74 and 6,327.14

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Solution

The fourth proportional to 10,575.90, 14,594.74 and 6,327.14 is: 8,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.90 : 14,594.74 = 6,327.14 : x
  2. Step 2: Convert to fraction form
    10,575.90/14,594.74 = 6,327.14/x
  3. Step 3: Cross multiply
    10,575.90x = 14,594.74 × 6,327.14
  4. Step 4: Simplify right side
    10,575.90x = 92,342,956.55
  5. Step 5: Solve for x
    x = 92,342,956.55/10,575.90
  6. Step 6: Final answer
    x = 8,731.45

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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.