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Finding the Fourth Proportional to 7,853.48, 10,833.60 and 6,595.88

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Solution

The fourth proportional to 7,853.48, 10,833.60 and 6,595.88 is: 9,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.48 : 10,833.60 = 6,595.88 : x
  2. Step 2: Convert to fraction form
    7,853.48/10,833.60 = 6,595.88/x
  3. Step 3: Cross multiply
    7,853.48x = 10,833.60 × 6,595.88
  4. Step 4: Simplify right side
    7,853.48x = 71,457,125.57
  5. Step 5: Solve for x
    x = 71,457,125.57/7,853.48
  6. Step 6: Final answer
    x = 9,098.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.