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Finding the Fourth Proportional to 10,567.76, 14,582.04 and 6,374.48

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Solution

The fourth proportional to 10,567.76, 14,582.04 and 6,374.48 is: 8,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.76 : 14,582.04 = 6,374.48 : x
  2. Step 2: Convert to fraction form
    10,567.76/14,582.04 = 6,374.48/x
  3. Step 3: Cross multiply
    10,567.76x = 14,582.04 × 6,374.48
  4. Step 4: Simplify right side
    10,567.76x = 92,952,922.34
  5. Step 5: Solve for x
    x = 92,952,922.34/10,567.76
  6. Step 6: Final answer
    x = 8,795.90

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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.