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Finding the Fourth Proportional to 10,725.20, 14,792.00 and 7,549.01

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Solution

The fourth proportional to 10,725.20, 14,792.00 and 7,549.01 is: 10,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.20 : 14,792.00 = 7,549.01 : x
  2. Step 2: Convert to fraction form
    10,725.20/14,792.00 = 7,549.01/x
  3. Step 3: Cross multiply
    10,725.20x = 14,792.00 × 7,549.01
  4. Step 4: Simplify right side
    10,725.20x = 111,664,886.10
  5. Step 5: Solve for x
    x = 111,664,886.10/10,725.20
  6. Step 6: Final answer
    x = 10,411.45

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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.