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Finding the Fourth Proportional to 10,703.35, 14,761.59 and 8,046.16

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Solution

The fourth proportional to 10,703.35, 14,761.59 and 8,046.16 is: 11,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.35 : 14,761.59 = 8,046.16 : x
  2. Step 2: Convert to fraction form
    10,703.35/14,761.59 = 8,046.16/x
  3. Step 3: Cross multiply
    10,703.35x = 14,761.59 × 8,046.16
  4. Step 4: Simplify right side
    10,703.35x = 118,774,114.99
  5. Step 5: Solve for x
    x = 118,774,114.99/10,703.35
  6. Step 6: Final answer
    x = 11,096.91

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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.