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Finding the Fourth Proportional to 8,402.49, 11,595.53 and 4,574.15

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Solution

The fourth proportional to 8,402.49, 11,595.53 and 4,574.15 is: 6,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.49 : 11,595.53 = 4,574.15 : x
  2. Step 2: Convert to fraction form
    8,402.49/11,595.53 = 4,574.15/x
  3. Step 3: Cross multiply
    8,402.49x = 11,595.53 × 4,574.15
  4. Step 4: Simplify right side
    8,402.49x = 53,039,690.49
  5. Step 5: Solve for x
    x = 53,039,690.49/8,402.49
  6. Step 6: Final answer
    x = 6,312.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.