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Finding the Fourth Proportional to 8,411.65, 12,613.32 and 4,902.93

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Solution

The fourth proportional to 8,411.65, 12,613.32 and 4,902.93 is: 7,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.65 : 12,613.32 = 4,902.93 : x
  2. Step 2: Convert to fraction form
    8,411.65/12,613.32 = 4,902.93/x
  3. Step 3: Cross multiply
    8,411.65x = 12,613.32 × 4,902.93
  4. Step 4: Simplify right side
    8,411.65x = 61,842,225.03
  5. Step 5: Solve for x
    x = 61,842,225.03/8,411.65
  6. Step 6: Final answer
    x = 7,351.98

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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.