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Finding the Fourth Proportional to 10,675, 14,731.72 and 5,894.93

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Solution

The fourth proportional to 10,675, 14,731.72 and 5,894.93 is: 8,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675 : 14,731.72 = 5,894.93 : x
  2. Step 2: Convert to fraction form
    10,675/14,731.72 = 5,894.93/x
  3. Step 3: Cross multiply
    10,675x = 14,731.72 × 5,894.93
  4. Step 4: Simplify right side
    10,675x = 86,842,458.18
  5. Step 5: Solve for x
    x = 86,842,458.18/10,675
  6. Step 6: Final answer
    x = 8,135.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.