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Finding the Fourth Proportional to 7,154.04, 9,872.64 and 4,010.24

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Solution

The fourth proportional to 7,154.04, 9,872.64 and 4,010.24 is: 5,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.04 : 9,872.64 = 4,010.24 : x
  2. Step 2: Convert to fraction form
    7,154.04/9,872.64 = 4,010.24/x
  3. Step 3: Cross multiply
    7,154.04x = 9,872.64 × 4,010.24
  4. Step 4: Simplify right side
    7,154.04x = 39,591,655.83
  5. Step 5: Solve for x
    x = 39,591,655.83/7,154.04
  6. Step 6: Final answer
    x = 5,534.17

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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.