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Finding the Fourth Proportional to 10,534, 14,537.10 and 5,818.72

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Solution

The fourth proportional to 10,534, 14,537.10 and 5,818.72 is: 8,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 14,537.10 = 5,818.72 : x
  2. Step 2: Convert to fraction form
    10,534/14,537.10 = 5,818.72/x
  3. Step 3: Cross multiply
    10,534x = 14,537.10 × 5,818.72
  4. Step 4: Simplify right side
    10,534x = 84,587,314.51
  5. Step 5: Solve for x
    x = 84,587,314.51/10,534
  6. Step 6: Final answer
    x = 8,029.93

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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.