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Finding the Fourth Proportional to 8,901.50, 13,335.64 and 7,988.63

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Solution

The fourth proportional to 8,901.50, 13,335.64 and 7,988.63 is: 11,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.50 : 13,335.64 = 7,988.63 : x
  2. Step 2: Convert to fraction form
    8,901.50/13,335.64 = 7,988.63/x
  3. Step 3: Cross multiply
    8,901.50x = 13,335.64 × 7,988.63
  4. Step 4: Simplify right side
    8,901.50x = 106,533,407.12
  5. Step 5: Solve for x
    x = 106,533,407.12/8,901.50
  6. Step 6: Final answer
    x = 11,968.04

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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.