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Finding the Fourth Proportional to 10,595.48, 14,617.52 and 6,818

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Solution

The fourth proportional to 10,595.48, 14,617.52 and 6,818 is: 9,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.48 : 14,617.52 = 6,818 : x
  2. Step 2: Convert to fraction form
    10,595.48/14,617.52 = 6,818/x
  3. Step 3: Cross multiply
    10,595.48x = 14,617.52 × 6,818
  4. Step 4: Simplify right side
    10,595.48x = 99,662,251.36
  5. Step 5: Solve for x
    x = 99,662,251.36/10,595.48
  6. Step 6: Final answer
    x = 9,406.11

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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.