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Finding the Fourth Proportional to 10,602.73, 14,632.23 and 5,887

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Solution

The fourth proportional to 10,602.73, 14,632.23 and 5,887 is: 8,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.73 : 14,632.23 = 5,887 : x
  2. Step 2: Convert to fraction form
    10,602.73/14,632.23 = 5,887/x
  3. Step 3: Cross multiply
    10,602.73x = 14,632.23 × 5,887
  4. Step 4: Simplify right side
    10,602.73x = 86,139,938.01
  5. Step 5: Solve for x
    x = 86,139,938.01/10,602.73
  6. Step 6: Final answer
    x = 8,124.32

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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.