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Finding the Fourth Proportional to 12,795.39, 17,657.35 and 7,130.11

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Solution

The fourth proportional to 12,795.39, 17,657.35 and 7,130.11 is: 9,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.39 : 17,657.35 = 7,130.11 : x
  2. Step 2: Convert to fraction form
    12,795.39/17,657.35 = 7,130.11/x
  3. Step 3: Cross multiply
    12,795.39x = 17,657.35 × 7,130.11
  4. Step 4: Simplify right side
    12,795.39x = 125,898,847.81
  5. Step 5: Solve for x
    x = 125,898,847.81/12,795.39
  6. Step 6: Final answer
    x = 9,839.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.