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Finding the Fourth Proportional to 10,029.65, 15,044.47 and 4,831.88

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Solution

The fourth proportional to 10,029.65, 15,044.47 and 4,831.88 is: 7,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.65 : 15,044.47 = 4,831.88 : x
  2. Step 2: Convert to fraction form
    10,029.65/15,044.47 = 4,831.88/x
  3. Step 3: Cross multiply
    10,029.65x = 15,044.47 × 4,831.88
  4. Step 4: Simplify right side
    10,029.65x = 72,692,986.40
  5. Step 5: Solve for x
    x = 72,692,986.40/10,029.65
  6. Step 6: Final answer
    x = 7,247.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.