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Finding the Fourth Proportional to 11,519.60, 15,897.06 and 6,484.10

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Solution

The fourth proportional to 11,519.60, 15,897.06 and 6,484.10 is: 8,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.60 : 15,897.06 = 6,484.10 : x
  2. Step 2: Convert to fraction form
    11,519.60/15,897.06 = 6,484.10/x
  3. Step 3: Cross multiply
    11,519.60x = 15,897.06 × 6,484.10
  4. Step 4: Simplify right side
    11,519.60x = 103,078,047.26
  5. Step 5: Solve for x
    x = 103,078,047.26/11,519.60
  6. Step 6: Final answer
    x = 8,948.06

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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.