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Finding the Fourth Proportional to 10,523.76, 14,522.33 and 5,743.58

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Solution

The fourth proportional to 10,523.76, 14,522.33 and 5,743.58 is: 7,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.76 : 14,522.33 = 5,743.58 : x
  2. Step 2: Convert to fraction form
    10,523.76/14,522.33 = 5,743.58/x
  3. Step 3: Cross multiply
    10,523.76x = 14,522.33 × 5,743.58
  4. Step 4: Simplify right side
    10,523.76x = 83,410,113.48
  5. Step 5: Solve for x
    x = 83,410,113.48/10,523.76
  6. Step 6: Final answer
    x = 7,925.89

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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.