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Finding the Fourth Proportional to 10,702.63, 16,055.03 and 4,037.46

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Solution

The fourth proportional to 10,702.63, 16,055.03 and 4,037.46 is: 6,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.63 : 16,055.03 = 4,037.46 : x
  2. Step 2: Convert to fraction form
    10,702.63/16,055.03 = 4,037.46/x
  3. Step 3: Cross multiply
    10,702.63x = 16,055.03 × 4,037.46
  4. Step 4: Simplify right side
    10,702.63x = 64,821,440.96
  5. Step 5: Solve for x
    x = 64,821,440.96/10,702.63
  6. Step 6: Final answer
    x = 6,056.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.