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Finding the Fourth Proportional to 7,943.88, 10,962.63 and 4,407.42

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Solution

The fourth proportional to 7,943.88, 10,962.63 and 4,407.42 is: 6,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.88 : 10,962.63 = 4,407.42 : x
  2. Step 2: Convert to fraction form
    7,943.88/10,962.63 = 4,407.42/x
  3. Step 3: Cross multiply
    7,943.88x = 10,962.63 × 4,407.42
  4. Step 4: Simplify right side
    7,943.88x = 48,316,914.71
  5. Step 5: Solve for x
    x = 48,316,914.71/7,943.88
  6. Step 6: Final answer
    x = 6,082.28

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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.