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Finding the Fourth Proportional to 7,135.52, 9,851.32 and 4,655.84

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Solution

The fourth proportional to 7,135.52, 9,851.32 and 4,655.84 is: 6,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.52 : 9,851.32 = 4,655.84 : x
  2. Step 2: Convert to fraction form
    7,135.52/9,851.32 = 4,655.84/x
  3. Step 3: Cross multiply
    7,135.52x = 9,851.32 × 4,655.84
  4. Step 4: Simplify right side
    7,135.52x = 45,866,169.71
  5. Step 5: Solve for x
    x = 45,866,169.71/7,135.52
  6. Step 6: Final answer
    x = 6,427.87

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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.