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Finding the Fourth Proportional to 27,597.34, 41,397.33 and 7,878.76

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Solution

The fourth proportional to 27,597.34, 41,397.33 and 7,878.76 is: 11,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.34 : 41,397.33 = 7,878.76 : x
  2. Step 2: Convert to fraction form
    27,597.34/41,397.33 = 7,878.76/x
  3. Step 3: Cross multiply
    27,597.34x = 41,397.33 × 7,878.76
  4. Step 4: Simplify right side
    27,597.34x = 326,159,627.71
  5. Step 5: Solve for x
    x = 326,159,627.71/27,597.34
  6. Step 6: Final answer
    x = 11,818.52

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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.