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Finding the Fourth Proportional to 10,262.01, 14,162.91 and 5,787.16

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Solution

The fourth proportional to 10,262.01, 14,162.91 and 5,787.16 is: 7,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.01 : 14,162.91 = 5,787.16 : x
  2. Step 2: Convert to fraction form
    10,262.01/14,162.91 = 5,787.16/x
  3. Step 3: Cross multiply
    10,262.01x = 14,162.91 × 5,787.16
  4. Step 4: Simplify right side
    10,262.01x = 81,963,026.24
  5. Step 5: Solve for x
    x = 81,963,026.24/10,262.01
  6. Step 6: Final answer
    x = 7,987.03

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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.