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Finding the Fourth Proportional to 11,337.28, 15,643.02 and 6,619.42

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Solution

The fourth proportional to 11,337.28, 15,643.02 and 6,619.42 is: 9,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.28 : 15,643.02 = 6,619.42 : x
  2. Step 2: Convert to fraction form
    11,337.28/15,643.02 = 6,619.42/x
  3. Step 3: Cross multiply
    11,337.28x = 15,643.02 × 6,619.42
  4. Step 4: Simplify right side
    11,337.28x = 103,547,719.45
  5. Step 5: Solve for x
    x = 103,547,719.45/11,337.28
  6. Step 6: Final answer
    x = 9,133.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.