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Finding the Fourth Proportional to 10,585.54, 15,877.86 and 3,565.09

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Solution

The fourth proportional to 10,585.54, 15,877.86 and 3,565.09 is: 5,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.54 : 15,877.86 = 3,565.09 : x
  2. Step 2: Convert to fraction form
    10,585.54/15,877.86 = 3,565.09/x
  3. Step 3: Cross multiply
    10,585.54x = 15,877.86 × 3,565.09
  4. Step 4: Simplify right side
    10,585.54x = 56,605,999.91
  5. Step 5: Solve for x
    x = 56,605,999.91/10,585.54
  6. Step 6: Final answer
    x = 5,347.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.