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Finding the Fourth Proportional to 7,666.60, 11,502.60 and 3,768.40

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Solution

The fourth proportional to 7,666.60, 11,502.60 and 3,768.40 is: 5,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.60 : 11,502.60 = 3,768.40 : x
  2. Step 2: Convert to fraction form
    7,666.60/11,502.60 = 3,768.40/x
  3. Step 3: Cross multiply
    7,666.60x = 11,502.60 × 3,768.40
  4. Step 4: Simplify right side
    7,666.60x = 43,346,397.84
  5. Step 5: Solve for x
    x = 43,346,397.84/7,666.60
  6. Step 6: Final answer
    x = 5,653.93

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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.