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Finding the Fourth Proportional to 10,707.60, 14,776.95 and 6,620.31

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Solution

The fourth proportional to 10,707.60, 14,776.95 and 6,620.31 is: 9,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.60 : 14,776.95 = 6,620.31 : x
  2. Step 2: Convert to fraction form
    10,707.60/14,776.95 = 6,620.31/x
  3. Step 3: Cross multiply
    10,707.60x = 14,776.95 × 6,620.31
  4. Step 4: Simplify right side
    10,707.60x = 97,827,989.85
  5. Step 5: Solve for x
    x = 97,827,989.85/10,707.60
  6. Step 6: Final answer
    x = 9,136.31

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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.