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Finding the Fourth Proportional to 10,671.90, 14,731.32 and 8,026.98

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Solution

The fourth proportional to 10,671.90, 14,731.32 and 8,026.98 is: 11,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.90 : 14,731.32 = 8,026.98 : x
  2. Step 2: Convert to fraction form
    10,671.90/14,731.32 = 8,026.98/x
  3. Step 3: Cross multiply
    10,671.90x = 14,731.32 × 8,026.98
  4. Step 4: Simplify right side
    10,671.90x = 118,248,011.01
  5. Step 5: Solve for x
    x = 118,248,011.01/10,671.90
  6. Step 6: Final answer
    x = 11,080.31

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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.