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Finding the Fourth Proportional to 8,530.48, 12,783.62 and 4,824.93

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Solution

The fourth proportional to 8,530.48, 12,783.62 and 4,824.93 is: 7,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.48 : 12,783.62 = 4,824.93 : x
  2. Step 2: Convert to fraction form
    8,530.48/12,783.62 = 4,824.93/x
  3. Step 3: Cross multiply
    8,530.48x = 12,783.62 × 4,824.93
  4. Step 4: Simplify right side
    8,530.48x = 61,680,131.65
  5. Step 5: Solve for x
    x = 61,680,131.65/8,530.48
  6. Step 6: Final answer
    x = 7,230.56

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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.