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Finding the Fourth Proportional to 10,235.14, 15,360 and 4,393.42

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Solution

The fourth proportional to 10,235.14, 15,360 and 4,393.42 is: 6,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.14 : 15,360 = 4,393.42 : x
  2. Step 2: Convert to fraction form
    10,235.14/15,360 = 4,393.42/x
  3. Step 3: Cross multiply
    10,235.14x = 15,360 × 4,393.42
  4. Step 4: Simplify right side
    10,235.14x = 67,482,931.20
  5. Step 5: Solve for x
    x = 67,482,931.20/10,235.14
  6. Step 6: Final answer
    x = 6,593.26

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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.