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Finding the Fourth Proportional to 7,007.86, 10,511.76 and 2,328.22

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Solution

The fourth proportional to 7,007.86, 10,511.76 and 2,328.22 is: 3,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.86 : 10,511.76 = 2,328.22 : x
  2. Step 2: Convert to fraction form
    7,007.86/10,511.76 = 2,328.22/x
  3. Step 3: Cross multiply
    7,007.86x = 10,511.76 × 2,328.22
  4. Step 4: Simplify right side
    7,007.86x = 24,473,711.74
  5. Step 5: Solve for x
    x = 24,473,711.74/7,007.86
  6. Step 6: Final answer
    x = 3,492.32

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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.