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Finding the Fourth Proportional to 7,428, 11,132.25 and 4,142.64

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Solution

The fourth proportional to 7,428, 11,132.25 and 4,142.64 is: 6,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428 : 11,132.25 = 4,142.64 : x
  2. Step 2: Convert to fraction form
    7,428/11,132.25 = 4,142.64/x
  3. Step 3: Cross multiply
    7,428x = 11,132.25 × 4,142.64
  4. Step 4: Simplify right side
    7,428x = 46,116,904.14
  5. Step 5: Solve for x
    x = 46,116,904.14/7,428
  6. Step 6: Final answer
    x = 6,208.52

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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.