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Finding the Fourth Proportional to 10,511.40, 14,495.96 and 7,674.30

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Solution

The fourth proportional to 10,511.40, 14,495.96 and 7,674.30 is: 10,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.40 : 14,495.96 = 7,674.30 : x
  2. Step 2: Convert to fraction form
    10,511.40/14,495.96 = 7,674.30/x
  3. Step 3: Cross multiply
    10,511.40x = 14,495.96 × 7,674.30
  4. Step 4: Simplify right side
    10,511.40x = 111,246,345.83
  5. Step 5: Solve for x
    x = 111,246,345.83/10,511.40
  6. Step 6: Final answer
    x = 10,583.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.