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Finding the Fourth Proportional to 7,524.84, 10,384.29 and 4,501.92

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Solution

The fourth proportional to 7,524.84, 10,384.29 and 4,501.92 is: 6,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.84 : 10,384.29 = 4,501.92 : x
  2. Step 2: Convert to fraction form
    7,524.84/10,384.29 = 4,501.92/x
  3. Step 3: Cross multiply
    7,524.84x = 10,384.29 × 4,501.92
  4. Step 4: Simplify right side
    7,524.84x = 46,749,242.84
  5. Step 5: Solve for x
    x = 46,749,242.84/7,524.84
  6. Step 6: Final answer
    x = 6,212.66

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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.