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Finding the Fourth Proportional to 35,464, 53,196.72 and 10,840

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Solution

The fourth proportional to 35,464, 53,196.72 and 10,840 is: 16,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464 : 53,196.72 = 10,840 : x
  2. Step 2: Convert to fraction form
    35,464/53,196.72 = 10,840/x
  3. Step 3: Cross multiply
    35,464x = 53,196.72 × 10,840
  4. Step 4: Simplify right side
    35,464x = 576,652,444.80
  5. Step 5: Solve for x
    x = 576,652,444.80/35,464
  6. Step 6: Final answer
    x = 16,260.22

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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.