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Finding the Fourth Proportional to 10,505.63, 15,760.32 and 3,486.07

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Solution

The fourth proportional to 10,505.63, 15,760.32 and 3,486.07 is: 5,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.63 : 15,760.32 = 3,486.07 : x
  2. Step 2: Convert to fraction form
    10,505.63/15,760.32 = 3,486.07/x
  3. Step 3: Cross multiply
    10,505.63x = 15,760.32 × 3,486.07
  4. Step 4: Simplify right side
    10,505.63x = 54,941,482.51
  5. Step 5: Solve for x
    x = 54,941,482.51/10,505.63
  6. Step 6: Final answer
    x = 5,229.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.