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Finding the Fourth Proportional to 7,909.65, 11,870.01 and 5,835.04

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Solution

The fourth proportional to 7,909.65, 11,870.01 and 5,835.04 is: 8,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.65 : 11,870.01 = 5,835.04 : x
  2. Step 2: Convert to fraction form
    7,909.65/11,870.01 = 5,835.04/x
  3. Step 3: Cross multiply
    7,909.65x = 11,870.01 × 5,835.04
  4. Step 4: Simplify right side
    7,909.65x = 69,261,894.63
  5. Step 5: Solve for x
    x = 69,261,894.63/7,909.65
  6. Step 6: Final answer
    x = 8,756.64

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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.