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Finding the Fourth Proportional to 7,985.70, 11,165.40 and 7,985.70

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Solution

The fourth proportional to 7,985.70, 11,165.40 and 7,985.70 is: 11,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.70 : 11,165.40 = 7,985.70 : x
  2. Step 2: Convert to fraction form
    7,985.70/11,165.40 = 7,985.70/x
  3. Step 3: Cross multiply
    7,985.70x = 11,165.40 × 7,985.70
  4. Step 4: Simplify right side
    7,985.70x = 89,163,534.78
  5. Step 5: Solve for x
    x = 89,163,534.78/7,985.70
  6. Step 6: Final answer
    x = 11,165.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.