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Finding the Fourth Proportional to 7,767.36, 11,585.85 and 7,130.52

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Solution

The fourth proportional to 7,767.36, 11,585.85 and 7,130.52 is: 10,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.36 : 11,585.85 = 7,130.52 : x
  2. Step 2: Convert to fraction form
    7,767.36/11,585.85 = 7,130.52/x
  3. Step 3: Cross multiply
    7,767.36x = 11,585.85 × 7,130.52
  4. Step 4: Simplify right side
    7,767.36x = 82,613,135.14
  5. Step 5: Solve for x
    x = 82,613,135.14/7,767.36
  6. Step 6: Final answer
    x = 10,635.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.