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Finding the Fourth Proportional to 7,631.79, 10,532.91 and 4,607.07

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Solution

The fourth proportional to 7,631.79, 10,532.91 and 4,607.07 is: 6,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.79 : 10,532.91 = 4,607.07 : x
  2. Step 2: Convert to fraction form
    7,631.79/10,532.91 = 4,607.07/x
  3. Step 3: Cross multiply
    7,631.79x = 10,532.91 × 4,607.07
  4. Step 4: Simplify right side
    7,631.79x = 48,525,853.67
  5. Step 5: Solve for x
    x = 48,525,853.67/7,631.79
  6. Step 6: Final answer
    x = 6,358.38

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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.