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Finding the Fourth Proportional to 10,725.72, 14,792.63 and 7,363.20

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Solution

The fourth proportional to 10,725.72, 14,792.63 and 7,363.20 is: 10,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.72 : 14,792.63 = 7,363.20 : x
  2. Step 2: Convert to fraction form
    10,725.72/14,792.63 = 7,363.20/x
  3. Step 3: Cross multiply
    10,725.72x = 14,792.63 × 7,363.20
  4. Step 4: Simplify right side
    10,725.72x = 108,921,111.87
  5. Step 5: Solve for x
    x = 108,921,111.87/10,725.72
  6. Step 6: Final answer
    x = 10,155.14

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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.