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Finding the Fourth Proportional to 10,934.96, 15,089.98 and 6,218.94

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Solution

The fourth proportional to 10,934.96, 15,089.98 and 6,218.94 is: 8,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.96 : 15,089.98 = 6,218.94 : x
  2. Step 2: Convert to fraction form
    10,934.96/15,089.98 = 6,218.94/x
  3. Step 3: Cross multiply
    10,934.96x = 15,089.98 × 6,218.94
  4. Step 4: Simplify right side
    10,934.96x = 93,843,649.13
  5. Step 5: Solve for x
    x = 93,843,649.13/10,934.96
  6. Step 6: Final answer
    x = 8,581.98

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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.