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Finding the Fourth Proportional to 10,290.80, 14,192.76 and 6,095.12

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Solution

The fourth proportional to 10,290.80, 14,192.76 and 6,095.12 is: 8,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.80 : 14,192.76 = 6,095.12 : x
  2. Step 2: Convert to fraction form
    10,290.80/14,192.76 = 6,095.12/x
  3. Step 3: Cross multiply
    10,290.80x = 14,192.76 × 6,095.12
  4. Step 4: Simplify right side
    10,290.80x = 86,506,575.33
  5. Step 5: Solve for x
    x = 86,506,575.33/10,290.80
  6. Step 6: Final answer
    x = 8,406.21

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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.