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Finding the Fourth Proportional to 10,760.16, 14,848.29 and 6,044.34

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Solution

The fourth proportional to 10,760.16, 14,848.29 and 6,044.34 is: 8,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.16 : 14,848.29 = 6,044.34 : x
  2. Step 2: Convert to fraction form
    10,760.16/14,848.29 = 6,044.34/x
  3. Step 3: Cross multiply
    10,760.16x = 14,848.29 × 6,044.34
  4. Step 4: Simplify right side
    10,760.16x = 89,748,113.18
  5. Step 5: Solve for x
    x = 89,748,113.18/10,760.16
  6. Step 6: Final answer
    x = 8,340.78

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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.