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Finding the Fourth Proportional to 8,655.48, 12,981.80 and 2,415.92

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Solution

The fourth proportional to 8,655.48, 12,981.80 and 2,415.92 is: 3,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.48 : 12,981.80 = 2,415.92 : x
  2. Step 2: Convert to fraction form
    8,655.48/12,981.80 = 2,415.92/x
  3. Step 3: Cross multiply
    8,655.48x = 12,981.80 × 2,415.92
  4. Step 4: Simplify right side
    8,655.48x = 31,362,990.26
  5. Step 5: Solve for x
    x = 31,362,990.26/8,655.48
  6. Step 6: Final answer
    x = 3,623.48

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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.