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Finding the Fourth Proportional to 10,760, 14,848.73 and 6,044.18

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Solution

The fourth proportional to 10,760, 14,848.73 and 6,044.18 is: 8,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760 : 14,848.73 = 6,044.18 : x
  2. Step 2: Convert to fraction form
    10,760/14,848.73 = 6,044.18/x
  3. Step 3: Cross multiply
    10,760x = 14,848.73 × 6,044.18
  4. Step 4: Simplify right side
    10,760x = 89,748,396.89
  5. Step 5: Solve for x
    x = 89,748,396.89/10,760
  6. Step 6: Final answer
    x = 8,340.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.