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Finding the Fourth Proportional to 28,715.31, 43,069.54 and 7,656.93

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Solution

The fourth proportional to 28,715.31, 43,069.54 and 7,656.93 is: 11,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,715.31 : 43,069.54 = 7,656.93 : x
  2. Step 2: Convert to fraction form
    28,715.31/43,069.54 = 7,656.93/x
  3. Step 3: Cross multiply
    28,715.31x = 43,069.54 × 7,656.93
  4. Step 4: Simplify right side
    28,715.31x = 329,780,452.91
  5. Step 5: Solve for x
    x = 329,780,452.91/28,715.31
  6. Step 6: Final answer
    x = 11,484.48

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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.