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Finding the Fourth Proportional to 8,437.14, 11,630.01 and 5,779.98

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Solution

The fourth proportional to 8,437.14, 11,630.01 and 5,779.98 is: 7,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.14 : 11,630.01 = 5,779.98 : x
  2. Step 2: Convert to fraction form
    8,437.14/11,630.01 = 5,779.98/x
  3. Step 3: Cross multiply
    8,437.14x = 11,630.01 × 5,779.98
  4. Step 4: Simplify right side
    8,437.14x = 67,221,225.20
  5. Step 5: Solve for x
    x = 67,221,225.20/8,437.14
  6. Step 6: Final answer
    x = 7,967.30

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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.