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Finding the Fourth Proportional to 7,649.80, 11,442.70 and 6,875.40

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Solution

The fourth proportional to 7,649.80, 11,442.70 and 6,875.40 is: 10,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.80 : 11,442.70 = 6,875.40 : x
  2. Step 2: Convert to fraction form
    7,649.80/11,442.70 = 6,875.40/x
  3. Step 3: Cross multiply
    7,649.80x = 11,442.70 × 6,875.40
  4. Step 4: Simplify right side
    7,649.80x = 78,673,139.58
  5. Step 5: Solve for x
    x = 78,673,139.58/7,649.80
  6. Step 6: Final answer
    x = 10,284.34

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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.