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Finding the Fourth Proportional to 7,652.24, 11,411.02 and 7,046.36

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Solution

The fourth proportional to 7,652.24, 11,411.02 and 7,046.36 is: 10,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.24 : 11,411.02 = 7,046.36 : x
  2. Step 2: Convert to fraction form
    7,652.24/11,411.02 = 7,046.36/x
  3. Step 3: Cross multiply
    7,652.24x = 11,411.02 × 7,046.36
  4. Step 4: Simplify right side
    7,652.24x = 80,406,154.89
  5. Step 5: Solve for x
    x = 80,406,154.89/7,652.24
  6. Step 6: Final answer
    x = 10,507.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.