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Finding the Fourth Proportional to 10,638.92, 14,666.46 and 7,485.32

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Solution

The fourth proportional to 10,638.92, 14,666.46 and 7,485.32 is: 10,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.92 : 14,666.46 = 7,485.32 : x
  2. Step 2: Convert to fraction form
    10,638.92/14,666.46 = 7,485.32/x
  3. Step 3: Cross multiply
    10,638.92x = 14,666.46 × 7,485.32
  4. Step 4: Simplify right side
    10,638.92x = 109,783,146.37
  5. Step 5: Solve for x
    x = 109,783,146.37/10,638.92
  6. Step 6: Final answer
    x = 10,319.01

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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.