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Finding the Fourth Proportional to 7,740.52, 10,673.84 and 4,596.10

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Solution

The fourth proportional to 7,740.52, 10,673.84 and 4,596.10 is: 6,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.52 : 10,673.84 = 4,596.10 : x
  2. Step 2: Convert to fraction form
    7,740.52/10,673.84 = 4,596.10/x
  3. Step 3: Cross multiply
    7,740.52x = 10,673.84 × 4,596.10
  4. Step 4: Simplify right side
    7,740.52x = 49,058,036.02
  5. Step 5: Solve for x
    x = 49,058,036.02/7,740.52
  6. Step 6: Final answer
    x = 6,337.82

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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.