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Finding the Fourth Proportional to 8,410.19, 11,605.50 and 5,051.00

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Solution

The fourth proportional to 8,410.19, 11,605.50 and 5,051.00 is: 6,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.19 : 11,605.50 = 5,051.00 : x
  2. Step 2: Convert to fraction form
    8,410.19/11,605.50 = 5,051.00/x
  3. Step 3: Cross multiply
    8,410.19x = 11,605.50 × 5,051.00
  4. Step 4: Simplify right side
    8,410.19x = 58,619,409.51
  5. Step 5: Solve for x
    x = 58,619,409.51/8,410.19
  6. Step 6: Final answer
    x = 6,970.05

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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.