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Finding the Fourth Proportional to 10,813.68, 14,924.40 and 6,566.88

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Solution

The fourth proportional to 10,813.68, 14,924.40 and 6,566.88 is: 9,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.68 : 14,924.40 = 6,566.88 : x
  2. Step 2: Convert to fraction form
    10,813.68/14,924.40 = 6,566.88/x
  3. Step 3: Cross multiply
    10,813.68x = 14,924.40 × 6,566.88
  4. Step 4: Simplify right side
    10,813.68x = 98,006,743.87
  5. Step 5: Solve for x
    x = 98,006,743.87/10,813.68
  6. Step 6: Final answer
    x = 9,063.22

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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.