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Finding the Fourth Proportional to 7,678.54, 10,585.10 and 5,433.50

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Solution

The fourth proportional to 7,678.54, 10,585.10 and 5,433.50 is: 7,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.54 : 10,585.10 = 5,433.50 : x
  2. Step 2: Convert to fraction form
    7,678.54/10,585.10 = 5,433.50/x
  3. Step 3: Cross multiply
    7,678.54x = 10,585.10 × 5,433.50
  4. Step 4: Simplify right side
    7,678.54x = 57,514,140.85
  5. Step 5: Solve for x
    x = 57,514,140.85/7,678.54
  6. Step 6: Final answer
    x = 7,490.24

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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.