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Finding the Fourth Proportional to 10,415.72, 14,374.06 and 5,700.00

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Solution

The fourth proportional to 10,415.72, 14,374.06 and 5,700.00 is: 7,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.72 : 14,374.06 = 5,700.00 : x
  2. Step 2: Convert to fraction form
    10,415.72/14,374.06 = 5,700.00/x
  3. Step 3: Cross multiply
    10,415.72x = 14,374.06 × 5,700.00
  4. Step 4: Simplify right side
    10,415.72x = 81,932,181.65
  5. Step 5: Solve for x
    x = 81,932,181.65/10,415.72
  6. Step 6: Final answer
    x = 7,866.20

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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.