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Finding the Fourth Proportional to 11,460, 15,811.25 and 6,423.52

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Solution

The fourth proportional to 11,460, 15,811.25 and 6,423.52 is: 8,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460 : 15,811.25 = 6,423.52 : x
  2. Step 2: Convert to fraction form
    11,460/15,811.25 = 6,423.52/x
  3. Step 3: Cross multiply
    11,460x = 15,811.25 × 6,423.52
  4. Step 4: Simplify right side
    11,460x = 101,563,808.95
  5. Step 5: Solve for x
    x = 101,563,808.95/11,460
  6. Step 6: Final answer
    x = 8,862.46

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