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Finding the Fourth Proportional to 10,686.78, 14,728.32 and 7,095.42

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Solution

The fourth proportional to 10,686.78, 14,728.32 and 7,095.42 is: 9,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.78 : 14,728.32 = 7,095.42 : x
  2. Step 2: Convert to fraction form
    10,686.78/14,728.32 = 7,095.42/x
  3. Step 3: Cross multiply
    10,686.78x = 14,728.32 × 7,095.42
  4. Step 4: Simplify right side
    10,686.78x = 104,503,616.29
  5. Step 5: Solve for x
    x = 104,503,616.29/10,686.78
  6. Step 6: Final answer
    x = 9,778.77

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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.