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Finding the Fourth Proportional to 11,657.90, 17,492.02 and 6,109.93

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Solution

The fourth proportional to 11,657.90, 17,492.02 and 6,109.93 is: 9,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.90 : 17,492.02 = 6,109.93 : x
  2. Step 2: Convert to fraction form
    11,657.90/17,492.02 = 6,109.93/x
  3. Step 3: Cross multiply
    11,657.90x = 17,492.02 × 6,109.93
  4. Step 4: Simplify right side
    11,657.90x = 106,875,017.76
  5. Step 5: Solve for x
    x = 106,875,017.76/11,657.90
  6. Step 6: Final answer
    x = 9,167.60

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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.