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Finding the Fourth Proportional to 7,605.81, 10,495.31 and 4,461.39

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Solution

The fourth proportional to 7,605.81, 10,495.31 and 4,461.39 is: 6,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.81 : 10,495.31 = 4,461.39 : x
  2. Step 2: Convert to fraction form
    7,605.81/10,495.31 = 4,461.39/x
  3. Step 3: Cross multiply
    7,605.81x = 10,495.31 × 4,461.39
  4. Step 4: Simplify right side
    7,605.81x = 46,823,648.77
  5. Step 5: Solve for x
    x = 46,823,648.77/7,605.81
  6. Step 6: Final answer
    x = 6,156.30

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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.