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Finding the Fourth Proportional to 7,309.86, 10,089 and 4,660.35

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Solution

The fourth proportional to 7,309.86, 10,089 and 4,660.35 is: 6,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.86 : 10,089 = 4,660.35 : x
  2. Step 2: Convert to fraction form
    7,309.86/10,089 = 4,660.35/x
  3. Step 3: Cross multiply
    7,309.86x = 10,089 × 4,660.35
  4. Step 4: Simplify right side
    7,309.86x = 47,018,271.15
  5. Step 5: Solve for x
    x = 47,018,271.15/7,309.86
  6. Step 6: Final answer
    x = 6,432.17

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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.