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Finding the Fourth Proportional to 10,934.44, 15,089.86 and 6,219.40

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Solution

The fourth proportional to 10,934.44, 15,089.86 and 6,219.40 is: 8,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.44 : 15,089.86 = 6,219.40 : x
  2. Step 2: Convert to fraction form
    10,934.44/15,089.86 = 6,219.40/x
  3. Step 3: Cross multiply
    10,934.44x = 15,089.86 × 6,219.40
  4. Step 4: Simplify right side
    10,934.44x = 93,849,875.28
  5. Step 5: Solve for x
    x = 93,849,875.28/10,934.44
  6. Step 6: Final answer
    x = 8,582.96

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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.