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Finding the Fourth Proportional to 10,412.84, 14,354.77 and 7,423.48

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Solution

The fourth proportional to 10,412.84, 14,354.77 and 7,423.48 is: 10,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.84 : 14,354.77 = 7,423.48 : x
  2. Step 2: Convert to fraction form
    10,412.84/14,354.77 = 7,423.48/x
  3. Step 3: Cross multiply
    10,412.84x = 14,354.77 × 7,423.48
  4. Step 4: Simplify right side
    10,412.84x = 106,562,330.50
  5. Step 5: Solve for x
    x = 106,562,330.50/10,412.84
  6. Step 6: Final answer
    x = 10,233.75

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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.