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Finding the Fourth Proportional to 11,376.25, 15,698.72 and 6,341.02

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Solution

The fourth proportional to 11,376.25, 15,698.72 and 6,341.02 is: 8,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.25 : 15,698.72 = 6,341.02 : x
  2. Step 2: Convert to fraction form
    11,376.25/15,698.72 = 6,341.02/x
  3. Step 3: Cross multiply
    11,376.25x = 15,698.72 × 6,341.02
  4. Step 4: Simplify right side
    11,376.25x = 99,545,874.10
  5. Step 5: Solve for x
    x = 99,545,874.10/11,376.25
  6. Step 6: Final answer
    x = 8,750.33

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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.