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Finding the Fourth Proportional to 7,548, 10,416.36 and 5,956.32

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Solution

The fourth proportional to 7,548, 10,416.36 and 5,956.32 is: 8,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548 : 10,416.36 = 5,956.32 : x
  2. Step 2: Convert to fraction form
    7,548/10,416.36 = 5,956.32/x
  3. Step 3: Cross multiply
    7,548x = 10,416.36 × 5,956.32
  4. Step 4: Simplify right side
    7,548x = 62,043,173.40
  5. Step 5: Solve for x
    x = 62,043,173.40/7,548
  6. Step 6: Final answer
    x = 8,219.82

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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.