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Finding the Fourth Proportional to 10,646.01, 15,962.04 and 5,099.16

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Solution

The fourth proportional to 10,646.01, 15,962.04 and 5,099.16 is: 7,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.01 : 15,962.04 = 5,099.16 : x
  2. Step 2: Convert to fraction form
    10,646.01/15,962.04 = 5,099.16/x
  3. Step 3: Cross multiply
    10,646.01x = 15,962.04 × 5,099.16
  4. Step 4: Simplify right side
    10,646.01x = 81,392,995.89
  5. Step 5: Solve for x
    x = 81,392,995.89/10,646.01
  6. Step 6: Final answer
    x = 7,645.40

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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.