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Finding the Fourth Proportional to 7,312.58, 10,091.34 and 4,125.86

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Solution

The fourth proportional to 7,312.58, 10,091.34 and 4,125.86 is: 5,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.58 : 10,091.34 = 4,125.86 : x
  2. Step 2: Convert to fraction form
    7,312.58/10,091.34 = 4,125.86/x
  3. Step 3: Cross multiply
    7,312.58x = 10,091.34 × 4,125.86
  4. Step 4: Simplify right side
    7,312.58x = 41,635,483.42
  5. Step 5: Solve for x
    x = 41,635,483.42/7,312.58
  6. Step 6: Final answer
    x = 5,693.68

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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.