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Finding the Fourth Proportional to 10,690.63, 14,751.80 and 5,909.93

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Solution

The fourth proportional to 10,690.63, 14,751.80 and 5,909.93 is: 8,155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.63 : 14,751.80 = 5,909.93 : x
  2. Step 2: Convert to fraction form
    10,690.63/14,751.80 = 5,909.93/x
  3. Step 3: Cross multiply
    10,690.63x = 14,751.80 × 5,909.93
  4. Step 4: Simplify right side
    10,690.63x = 87,182,105.37
  5. Step 5: Solve for x
    x = 87,182,105.37/10,690.63
  6. Step 6: Final answer
    x = 8,155.00

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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.