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Finding the Fourth Proportional to 10,502.42, 15,753.63 and 2,710.63

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Solution

The fourth proportional to 10,502.42, 15,753.63 and 2,710.63 is: 4,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.42 : 15,753.63 = 2,710.63 : x
  2. Step 2: Convert to fraction form
    10,502.42/15,753.63 = 2,710.63/x
  3. Step 3: Cross multiply
    10,502.42x = 15,753.63 × 2,710.63
  4. Step 4: Simplify right side
    10,502.42x = 42,702,183.32
  5. Step 5: Solve for x
    x = 42,702,183.32/10,502.42
  6. Step 6: Final answer
    x = 4,065.94

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Why These Related Problems?

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