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Finding the Fourth Proportional to 28,716.38, 43,071.12 and 7,658

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Solution

The fourth proportional to 28,716.38, 43,071.12 and 7,658 is: 11,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,716.38 : 43,071.12 = 7,658 : x
  2. Step 2: Convert to fraction form
    28,716.38/43,071.12 = 7,658/x
  3. Step 3: Cross multiply
    28,716.38x = 43,071.12 × 7,658
  4. Step 4: Simplify right side
    28,716.38x = 329,838,636.96
  5. Step 5: Solve for x
    x = 329,838,636.96/28,716.38
  6. Step 6: Final answer
    x = 11,486.08

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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.