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Finding the Fourth Proportional to 10,764.64, 14,854.80 and 6,048.82

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Solution

The fourth proportional to 10,764.64, 14,854.80 and 6,048.82 is: 8,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.64 : 14,854.80 = 6,048.82 : x
  2. Step 2: Convert to fraction form
    10,764.64/14,854.80 = 6,048.82/x
  3. Step 3: Cross multiply
    10,764.64x = 14,854.80 × 6,048.82
  4. Step 4: Simplify right side
    10,764.64x = 89,854,011.34
  5. Step 5: Solve for x
    x = 89,854,011.34/10,764.64
  6. Step 6: Final answer
    x = 8,347.15

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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.