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Finding the Fourth Proportional to 10,468.67, 14,446.23 and 5,752.04

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Solution

The fourth proportional to 10,468.67, 14,446.23 and 5,752.04 is: 7,937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.67 : 14,446.23 = 5,752.04 : x
  2. Step 2: Convert to fraction form
    10,468.67/14,446.23 = 5,752.04/x
  3. Step 3: Cross multiply
    10,468.67x = 14,446.23 × 5,752.04
  4. Step 4: Simplify right side
    10,468.67x = 83,095,292.81
  5. Step 5: Solve for x
    x = 83,095,292.81/10,468.67
  6. Step 6: Final answer
    x = 7,937.52

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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.