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Finding the Fourth Proportional to 10,624.34, 14,661.33 and 6,147.47

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Solution

The fourth proportional to 10,624.34, 14,661.33 and 6,147.47 is: 8,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.34 : 14,661.33 = 6,147.47 : x
  2. Step 2: Convert to fraction form
    10,624.34/14,661.33 = 6,147.47/x
  3. Step 3: Cross multiply
    10,624.34x = 14,661.33 × 6,147.47
  4. Step 4: Simplify right side
    10,624.34x = 90,130,086.34
  5. Step 5: Solve for x
    x = 90,130,086.34/10,624.34
  6. Step 6: Final answer
    x = 8,483.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.