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Finding the Fourth Proportional to 11,484.50, 15,853.47 and 7,009.86

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Solution

The fourth proportional to 11,484.50, 15,853.47 and 7,009.86 is: 9,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.50 : 15,853.47 = 7,009.86 : x
  2. Step 2: Convert to fraction form
    11,484.50/15,853.47 = 7,009.86/x
  3. Step 3: Cross multiply
    11,484.50x = 15,853.47 × 7,009.86
  4. Step 4: Simplify right side
    11,484.50x = 111,130,605.21
  5. Step 5: Solve for x
    x = 111,130,605.21/11,484.50
  6. Step 6: Final answer
    x = 9,676.58

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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.