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Finding the Fourth Proportional to 7,644.76, 10,549.81 and 4,459.91

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Solution

The fourth proportional to 7,644.76, 10,549.81 and 4,459.91 is: 6,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.76 : 10,549.81 = 4,459.91 : x
  2. Step 2: Convert to fraction form
    7,644.76/10,549.81 = 4,459.91/x
  3. Step 3: Cross multiply
    7,644.76x = 10,549.81 × 4,459.91
  4. Step 4: Simplify right side
    7,644.76x = 47,051,155.94
  5. Step 5: Solve for x
    x = 47,051,155.94/7,644.76
  6. Step 6: Final answer
    x = 6,154.70

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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.