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Finding the Fourth Proportional to 10,902, 16,352.64 and 3,506.88

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Solution

The fourth proportional to 10,902, 16,352.64 and 3,506.88 is: 5,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902 : 16,352.64 = 3,506.88 : x
  2. Step 2: Convert to fraction form
    10,902/16,352.64 = 3,506.88/x
  3. Step 3: Cross multiply
    10,902x = 16,352.64 × 3,506.88
  4. Step 4: Simplify right side
    10,902x = 57,346,746.16
  5. Step 5: Solve for x
    x = 57,346,746.16/10,902
  6. Step 6: Final answer
    x = 5,260.20

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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.