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Finding the Fourth Proportional to 8,385.82, 11,574.52 and 4,848.52

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Solution

The fourth proportional to 8,385.82, 11,574.52 and 4,848.52 is: 6,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.82 : 11,574.52 = 4,848.52 : x
  2. Step 2: Convert to fraction form
    8,385.82/11,574.52 = 4,848.52/x
  3. Step 3: Cross multiply
    8,385.82x = 11,574.52 × 4,848.52
  4. Step 4: Simplify right side
    8,385.82x = 56,119,291.71
  5. Step 5: Solve for x
    x = 56,119,291.71/8,385.82
  6. Step 6: Final answer
    x = 6,692.17

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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.