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Finding the Fourth Proportional to 8,436, 11,642.40 and 4,710.72

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Solution

The fourth proportional to 8,436, 11,642.40 and 4,710.72 is: 6,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436 : 11,642.40 = 4,710.72 : x
  2. Step 2: Convert to fraction form
    8,436/11,642.40 = 4,710.72/x
  3. Step 3: Cross multiply
    8,436x = 11,642.40 × 4,710.72
  4. Step 4: Simplify right side
    8,436x = 54,844,086.53
  5. Step 5: Solve for x
    x = 54,844,086.53/8,436
  6. Step 6: Final answer
    x = 6,501.20

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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.