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Finding the Fourth Proportional to 7,828.68, 11,735.06 and 4,909.02

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Solution

The fourth proportional to 7,828.68, 11,735.06 and 4,909.02 is: 7,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.68 : 11,735.06 = 4,909.02 : x
  2. Step 2: Convert to fraction form
    7,828.68/11,735.06 = 4,909.02/x
  3. Step 3: Cross multiply
    7,828.68x = 11,735.06 × 4,909.02
  4. Step 4: Simplify right side
    7,828.68x = 57,607,644.24
  5. Step 5: Solve for x
    x = 57,607,644.24/7,828.68
  6. Step 6: Final answer
    x = 7,358.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.