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Finding the Fourth Proportional to 7,647.41, 10,554.40 and 4,663.17

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Solution

The fourth proportional to 7,647.41, 10,554.40 and 4,663.17 is: 6,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.41 : 10,554.40 = 4,663.17 : x
  2. Step 2: Convert to fraction form
    7,647.41/10,554.40 = 4,663.17/x
  3. Step 3: Cross multiply
    7,647.41x = 10,554.40 × 4,663.17
  4. Step 4: Simplify right side
    7,647.41x = 49,216,967.28
  5. Step 5: Solve for x
    x = 49,216,967.28/7,647.41
  6. Step 6: Final answer
    x = 6,435.77

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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.