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Finding the Fourth Proportional to 8,437.01, 11,632.16 and 5,779.67

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Solution

The fourth proportional to 8,437.01, 11,632.16 and 5,779.67 is: 7,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.01 : 11,632.16 = 5,779.67 : x
  2. Step 2: Convert to fraction form
    8,437.01/11,632.16 = 5,779.67/x
  3. Step 3: Cross multiply
    8,437.01x = 11,632.16 × 5,779.67
  4. Step 4: Simplify right side
    8,437.01x = 67,230,017.29
  5. Step 5: Solve for x
    x = 67,230,017.29/8,437.01
  6. Step 6: Final answer
    x = 7,968.46

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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.