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Finding the Fourth Proportional to 10,554.34, 15,831.07 and 2,762.98

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Solution

The fourth proportional to 10,554.34, 15,831.07 and 2,762.98 is: 4,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.34 : 15,831.07 = 2,762.98 : x
  2. Step 2: Convert to fraction form
    10,554.34/15,831.07 = 2,762.98/x
  3. Step 3: Cross multiply
    10,554.34x = 15,831.07 × 2,762.98
  4. Step 4: Simplify right side
    10,554.34x = 43,740,929.79
  5. Step 5: Solve for x
    x = 43,740,929.79/10,554.34
  6. Step 6: Final answer
    x = 4,144.35

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