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Finding the Fourth Proportional to 10,437.77, 14,404.71 and 6,191.35

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Solution

The fourth proportional to 10,437.77, 14,404.71 and 6,191.35 is: 8,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.77 : 14,404.71 = 6,191.35 : x
  2. Step 2: Convert to fraction form
    10,437.77/14,404.71 = 6,191.35/x
  3. Step 3: Cross multiply
    10,437.77x = 14,404.71 × 6,191.35
  4. Step 4: Simplify right side
    10,437.77x = 89,184,601.26
  5. Step 5: Solve for x
    x = 89,184,601.26/10,437.77
  6. Step 6: Final answer
    x = 8,544.41

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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.