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Finding the Fourth Proportional to 8,357.04, 11,520.50 and 5,835.31

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Solution

The fourth proportional to 8,357.04, 11,520.50 and 5,835.31 is: 8,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.04 : 11,520.50 = 5,835.31 : x
  2. Step 2: Convert to fraction form
    8,357.04/11,520.50 = 5,835.31/x
  3. Step 3: Cross multiply
    8,357.04x = 11,520.50 × 5,835.31
  4. Step 4: Simplify right side
    8,357.04x = 67,225,630.88
  5. Step 5: Solve for x
    x = 67,225,630.88/8,357.04
  6. Step 6: Final answer
    x = 8,044.19

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1.5x scale

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.