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Finding the Fourth Proportional to 7,767.59, 11,646.89 and 5,305.39

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Solution

The fourth proportional to 7,767.59, 11,646.89 and 5,305.39 is: 7,955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.59 : 11,646.89 = 5,305.39 : x
  2. Step 2: Convert to fraction form
    7,767.59/11,646.89 = 5,305.39/x
  3. Step 3: Cross multiply
    7,767.59x = 11,646.89 × 5,305.39
  4. Step 4: Simplify right side
    7,767.59x = 61,791,208.98
  5. Step 5: Solve for x
    x = 61,791,208.98/7,767.59
  6. Step 6: Final answer
    x = 7,955.00

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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.