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Finding the Fourth Proportional to 10,783, 14,880.54 and 7,472.92

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Solution

The fourth proportional to 10,783, 14,880.54 and 7,472.92 is: 10,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783 : 14,880.54 = 7,472.92 : x
  2. Step 2: Convert to fraction form
    10,783/14,880.54 = 7,472.92/x
  3. Step 3: Cross multiply
    10,783x = 14,880.54 × 7,472.92
  4. Step 4: Simplify right side
    10,783x = 111,201,084.98
  5. Step 5: Solve for x
    x = 111,201,084.98/10,783
  6. Step 6: Final answer
    x = 10,312.63

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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.