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Finding the Fourth Proportional to 8,731.98, 12,038.76 and 7,857.18

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Solution

The fourth proportional to 8,731.98, 12,038.76 and 7,857.18 is: 10,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.98 : 12,038.76 = 7,857.18 : x
  2. Step 2: Convert to fraction form
    8,731.98/12,038.76 = 7,857.18/x
  3. Step 3: Cross multiply
    8,731.98x = 12,038.76 × 7,857.18
  4. Step 4: Simplify right side
    8,731.98x = 94,590,704.30
  5. Step 5: Solve for x
    x = 94,590,704.30/8,731.98
  6. Step 6: Final answer
    x = 10,832.68

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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.