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Finding the Fourth Proportional to 7,905.83, 10,909.74 and 4,549.16

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Solution

The fourth proportional to 7,905.83, 10,909.74 and 4,549.16 is: 6,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.83 : 10,909.74 = 4,549.16 : x
  2. Step 2: Convert to fraction form
    7,905.83/10,909.74 = 4,549.16/x
  3. Step 3: Cross multiply
    7,905.83x = 10,909.74 × 4,549.16
  4. Step 4: Simplify right side
    7,905.83x = 49,630,135.78
  5. Step 5: Solve for x
    x = 49,630,135.78/7,905.83
  6. Step 6: Final answer
    x = 6,277.67

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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.