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Finding the Fourth Proportional to 8,830.25, 13,248.09 and 4,150.07

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Solution

The fourth proportional to 8,830.25, 13,248.09 and 4,150.07 is: 6,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.25 : 13,248.09 = 4,150.07 : x
  2. Step 2: Convert to fraction form
    8,830.25/13,248.09 = 4,150.07/x
  3. Step 3: Cross multiply
    8,830.25x = 13,248.09 × 4,150.07
  4. Step 4: Simplify right side
    8,830.25x = 54,980,434.63
  5. Step 5: Solve for x
    x = 54,980,434.63/8,830.25
  6. Step 6: Final answer
    x = 6,226.38

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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.