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Finding the Fourth Proportional to 8,602.27, 12,888.45 and 4,656.23

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Solution

The fourth proportional to 8,602.27, 12,888.45 and 4,656.23 is: 6,976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.27 : 12,888.45 = 4,656.23 : x
  2. Step 2: Convert to fraction form
    8,602.27/12,888.45 = 4,656.23/x
  3. Step 3: Cross multiply
    8,602.27x = 12,888.45 × 4,656.23
  4. Step 4: Simplify right side
    8,602.27x = 60,011,643.93
  5. Step 5: Solve for x
    x = 60,011,643.93/8,602.27
  6. Step 6: Final answer
    x = 6,976.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.