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Finding the Fourth Proportional to 8,663.95, 12,973.78 and 4,764.07

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Solution

The fourth proportional to 8,663.95, 12,973.78 and 4,764.07 is: 7,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.95 : 12,973.78 = 4,764.07 : x
  2. Step 2: Convert to fraction form
    8,663.95/12,973.78 = 4,764.07/x
  3. Step 3: Cross multiply
    8,663.95x = 12,973.78 × 4,764.07
  4. Step 4: Simplify right side
    8,663.95x = 61,807,996.08
  5. Step 5: Solve for x
    x = 61,807,996.08/8,663.95
  6. Step 6: Final answer
    x = 7,133.93

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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.