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Finding the Fourth Proportional to 11,853.95, 17,785.70 and 5,275.63

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Solution

The fourth proportional to 11,853.95, 17,785.70 and 5,275.63 is: 7,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.95 : 17,785.70 = 5,275.63 : x
  2. Step 2: Convert to fraction form
    11,853.95/17,785.70 = 5,275.63/x
  3. Step 3: Cross multiply
    11,853.95x = 17,785.70 × 5,275.63
  4. Step 4: Simplify right side
    11,853.95x = 93,830,788.13
  5. Step 5: Solve for x
    x = 93,830,788.13/11,853.95
  6. Step 6: Final answer
    x = 7,915.57

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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.