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Finding the Fourth Proportional to 7,546.39, 10,411.86 and 4,560.06

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Solution

The fourth proportional to 7,546.39, 10,411.86 and 4,560.06 is: 6,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.39 : 10,411.86 = 4,560.06 : x
  2. Step 2: Convert to fraction form
    7,546.39/10,411.86 = 4,560.06/x
  3. Step 3: Cross multiply
    7,546.39x = 10,411.86 × 4,560.06
  4. Step 4: Simplify right side
    7,546.39x = 47,478,706.31
  5. Step 5: Solve for x
    x = 47,478,706.31/7,546.39
  6. Step 6: Final answer
    x = 6,291.58

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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.