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Finding the Fourth Proportional to 10,684.32, 16,029.72 and 7,570.35

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Solution

The fourth proportional to 10,684.32, 16,029.72 and 7,570.35 is: 11,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.32 : 16,029.72 = 7,570.35 : x
  2. Step 2: Convert to fraction form
    10,684.32/16,029.72 = 7,570.35/x
  3. Step 3: Cross multiply
    10,684.32x = 16,029.72 × 7,570.35
  4. Step 4: Simplify right side
    10,684.32x = 121,350,590.80
  5. Step 5: Solve for x
    x = 121,350,590.80/10,684.32
  6. Step 6: Final answer
    x = 11,357.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.