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Finding the Fourth Proportional to 7,872.90, 10,861.09 and 5,319.84

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Solution

The fourth proportional to 7,872.90, 10,861.09 and 5,319.84 is: 7,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.90 : 10,861.09 = 5,319.84 : x
  2. Step 2: Convert to fraction form
    7,872.90/10,861.09 = 5,319.84/x
  3. Step 3: Cross multiply
    7,872.90x = 10,861.09 × 5,319.84
  4. Step 4: Simplify right side
    7,872.90x = 57,779,196.81
  5. Step 5: Solve for x
    x = 57,779,196.81/7,872.90
  6. Step 6: Final answer
    x = 7,339.00

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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.