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Finding the Fourth Proportional to 7,259.32, 10,016.12 and 4,605.76

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Solution

The fourth proportional to 7,259.32, 10,016.12 and 4,605.76 is: 6,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.32 : 10,016.12 = 4,605.76 : x
  2. Step 2: Convert to fraction form
    7,259.32/10,016.12 = 4,605.76/x
  3. Step 3: Cross multiply
    7,259.32x = 10,016.12 × 4,605.76
  4. Step 4: Simplify right side
    7,259.32x = 46,131,844.85
  5. Step 5: Solve for x
    x = 46,131,844.85/7,259.32
  6. Step 6: Final answer
    x = 6,354.84

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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.