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Finding the Fourth Proportional to 10,828.53, 14,938.92 and 7,292.88

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Solution

The fourth proportional to 10,828.53, 14,938.92 and 7,292.88 is: 10,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.53 : 14,938.92 = 7,292.88 : x
  2. Step 2: Convert to fraction form
    10,828.53/14,938.92 = 7,292.88/x
  3. Step 3: Cross multiply
    10,828.53x = 14,938.92 × 7,292.88
  4. Step 4: Simplify right side
    10,828.53x = 108,947,750.89
  5. Step 5: Solve for x
    x = 108,947,750.89/10,828.53
  6. Step 6: Final answer
    x = 10,061.18

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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.