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Finding the Fourth Proportional to 7,810.61, 11,722.28 and 4,115.12

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Solution

The fourth proportional to 7,810.61, 11,722.28 and 4,115.12 is: 6,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.61 : 11,722.28 = 4,115.12 : x
  2. Step 2: Convert to fraction form
    7,810.61/11,722.28 = 4,115.12/x
  3. Step 3: Cross multiply
    7,810.61x = 11,722.28 × 4,115.12
  4. Step 4: Simplify right side
    7,810.61x = 48,238,509.69
  5. Step 5: Solve for x
    x = 48,238,509.69/7,810.61
  6. Step 6: Final answer
    x = 6,176.03

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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.