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Finding the Fourth Proportional to 7,005.76, 10,509.65 and 2,324.18

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Solution

The fourth proportional to 7,005.76, 10,509.65 and 2,324.18 is: 3,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.76 : 10,509.65 = 2,324.18 : x
  2. Step 2: Convert to fraction form
    7,005.76/10,509.65 = 2,324.18/x
  3. Step 3: Cross multiply
    7,005.76x = 10,509.65 × 2,324.18
  4. Step 4: Simplify right side
    7,005.76x = 24,426,318.34
  5. Step 5: Solve for x
    x = 24,426,318.34/7,005.76
  6. Step 6: Final answer
    x = 3,486.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.