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Finding the Fourth Proportional to 11,520.47, 15,900.63 and 7,492.34

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Solution

The fourth proportional to 11,520.47, 15,900.63 and 7,492.34 is: 10,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.47 : 15,900.63 = 7,492.34 : x
  2. Step 2: Convert to fraction form
    11,520.47/15,900.63 = 7,492.34/x
  3. Step 3: Cross multiply
    11,520.47x = 15,900.63 × 7,492.34
  4. Step 4: Simplify right side
    11,520.47x = 119,132,926.17
  5. Step 5: Solve for x
    x = 119,132,926.17/11,520.47
  6. Step 6: Final answer
    x = 10,340.98

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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.