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Finding the Fourth Proportional to 7,309.98, 10,089.90 and 4,656.42

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Solution

The fourth proportional to 7,309.98, 10,089.90 and 4,656.42 is: 6,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.98 : 10,089.90 = 4,656.42 : x
  2. Step 2: Convert to fraction form
    7,309.98/10,089.90 = 4,656.42/x
  3. Step 3: Cross multiply
    7,309.98x = 10,089.90 × 4,656.42
  4. Step 4: Simplify right side
    7,309.98x = 46,982,812.16
  5. Step 5: Solve for x
    x = 46,982,812.16/7,309.98
  6. Step 6: Final answer
    x = 6,427.21

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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.