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Finding the Fourth Proportional to 11,607.46, 17,409.49 and 3,710.86

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Solution

The fourth proportional to 11,607.46, 17,409.49 and 3,710.86 is: 5,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.46 : 17,409.49 = 3,710.86 : x
  2. Step 2: Convert to fraction form
    11,607.46/17,409.49 = 3,710.86/x
  3. Step 3: Cross multiply
    11,607.46x = 17,409.49 × 3,710.86
  4. Step 4: Simplify right side
    11,607.46x = 64,604,127.26
  5. Step 5: Solve for x
    x = 64,604,127.26/11,607.46
  6. Step 6: Final answer
    x = 5,565.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.