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Finding the Fourth Proportional to 10,647.17, 14,678.78 and 7,456.17

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Solution

The fourth proportional to 10,647.17, 14,678.78 and 7,456.17 is: 10,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.17 : 14,678.78 = 7,456.17 : x
  2. Step 2: Convert to fraction form
    10,647.17/14,678.78 = 7,456.17/x
  3. Step 3: Cross multiply
    10,647.17x = 14,678.78 × 7,456.17
  4. Step 4: Simplify right side
    10,647.17x = 109,447,441.79
  5. Step 5: Solve for x
    x = 109,447,441.79/10,647.17
  6. Step 6: Final answer
    x = 10,279.49

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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.