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Finding the Fourth Proportional to 7,875.60, 11,805.06 and 2,609.25

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Solution

The fourth proportional to 7,875.60, 11,805.06 and 2,609.25 is: 3,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.60 : 11,805.06 = 2,609.25 : x
  2. Step 2: Convert to fraction form
    7,875.60/11,805.06 = 2,609.25/x
  3. Step 3: Cross multiply
    7,875.60x = 11,805.06 × 2,609.25
  4. Step 4: Simplify right side
    7,875.60x = 30,802,352.81
  5. Step 5: Solve for x
    x = 30,802,352.81/7,875.60
  6. Step 6: Final answer
    x = 3,911.11

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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.