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Finding the Fourth Proportional to 11,520.48, 15,897.84 and 6,484.80

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Solution

The fourth proportional to 11,520.48, 15,897.84 and 6,484.80 is: 8,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.48 : 15,897.84 = 6,484.80 : x
  2. Step 2: Convert to fraction form
    11,520.48/15,897.84 = 6,484.80/x
  3. Step 3: Cross multiply
    11,520.48x = 15,897.84 × 6,484.80
  4. Step 4: Simplify right side
    11,520.48x = 103,094,312.83
  5. Step 5: Solve for x
    x = 103,094,312.83/11,520.48
  6. Step 6: Final answer
    x = 8,948.79

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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.