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Finding the Fourth Proportional to 8,357.15, 11,529.77 and 5,374.63

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Solution

The fourth proportional to 8,357.15, 11,529.77 and 5,374.63 is: 7,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.15 : 11,529.77 = 5,374.63 : x
  2. Step 2: Convert to fraction form
    8,357.15/11,529.77 = 5,374.63/x
  3. Step 3: Cross multiply
    8,357.15x = 11,529.77 × 5,374.63
  4. Step 4: Simplify right side
    8,357.15x = 61,968,247.74
  5. Step 5: Solve for x
    x = 61,968,247.74/8,357.15
  6. Step 6: Final answer
    x = 7,415.00

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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.