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Finding the Fourth Proportional to 7,720.07, 11,580 and 1,876.68

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Solution

The fourth proportional to 7,720.07, 11,580 and 1,876.68 is: 2,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.07 : 11,580 = 1,876.68 : x
  2. Step 2: Convert to fraction form
    7,720.07/11,580 = 1,876.68/x
  3. Step 3: Cross multiply
    7,720.07x = 11,580 × 1,876.68
  4. Step 4: Simplify right side
    7,720.07x = 21,731,954.40
  5. Step 5: Solve for x
    x = 21,731,954.40/7,720.07
  6. Step 6: Final answer
    x = 2,815.00

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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.