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Finding the Fourth Proportional to 10,606.76, 14,637.38 and 5,891.48

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Solution

The fourth proportional to 10,606.76, 14,637.38 and 5,891.48 is: 8,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.76 : 14,637.38 = 5,891.48 : x
  2. Step 2: Convert to fraction form
    10,606.76/14,637.38 = 5,891.48/x
  3. Step 3: Cross multiply
    10,606.76x = 14,637.38 × 5,891.48
  4. Step 4: Simplify right side
    10,606.76x = 86,235,831.52
  5. Step 5: Solve for x
    x = 86,235,831.52/10,606.76
  6. Step 6: Final answer
    x = 8,130.27

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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.