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Finding the Fourth Proportional to 27,575.63, 41,356.59 and 7,854.35

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Solution

The fourth proportional to 27,575.63, 41,356.59 and 7,854.35 is: 11,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.63 : 41,356.59 = 7,854.35 : x
  2. Step 2: Convert to fraction form
    27,575.63/41,356.59 = 7,854.35/x
  3. Step 3: Cross multiply
    27,575.63x = 41,356.59 × 7,854.35
  4. Step 4: Simplify right side
    27,575.63x = 324,828,925.88
  5. Step 5: Solve for x
    x = 324,828,925.88/27,575.63
  6. Step 6: Final answer
    x = 11,779.57

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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.