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Finding the Fourth Proportional to 10,802.72, 16,210.56 and 7,096.16

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Solution

The fourth proportional to 10,802.72, 16,210.56 and 7,096.16 is: 10,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.72 : 16,210.56 = 7,096.16 : x
  2. Step 2: Convert to fraction form
    10,802.72/16,210.56 = 7,096.16/x
  3. Step 3: Cross multiply
    10,802.72x = 16,210.56 × 7,096.16
  4. Step 4: Simplify right side
    10,802.72x = 115,032,727.45
  5. Step 5: Solve for x
    x = 115,032,727.45/10,802.72
  6. Step 6: Final answer
    x = 10,648.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.