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Finding the Fourth Proportional to 10,297.18, 14,210.06 and 5,581.46

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Solution

The fourth proportional to 10,297.18, 14,210.06 and 5,581.46 is: 7,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.18 : 14,210.06 = 5,581.46 : x
  2. Step 2: Convert to fraction form
    10,297.18/14,210.06 = 5,581.46/x
  3. Step 3: Cross multiply
    10,297.18x = 14,210.06 × 5,581.46
  4. Step 4: Simplify right side
    10,297.18x = 79,312,824.87
  5. Step 5: Solve for x
    x = 79,312,824.87/10,297.18
  6. Step 6: Final answer
    x = 7,702.39

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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.