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Finding the Fourth Proportional to 7,707.64, 11,505.71 and 6,773.47

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Solution

The fourth proportional to 7,707.64, 11,505.71 and 6,773.47 is: 10,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.64 : 11,505.71 = 6,773.47 : x
  2. Step 2: Convert to fraction form
    7,707.64/11,505.71 = 6,773.47/x
  3. Step 3: Cross multiply
    7,707.64x = 11,505.71 × 6,773.47
  4. Step 4: Simplify right side
    7,707.64x = 77,933,581.51
  5. Step 5: Solve for x
    x = 77,933,581.51/7,707.64
  6. Step 6: Final answer
    x = 10,111.21

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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.