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Finding the Fourth Proportional to 10,348.80, 15,539.40 and 7,886.40

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Solution

The fourth proportional to 10,348.80, 15,539.40 and 7,886.40 is: 11,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.80 : 15,539.40 = 7,886.40 : x
  2. Step 2: Convert to fraction form
    10,348.80/15,539.40 = 7,886.40/x
  3. Step 3: Cross multiply
    10,348.80x = 15,539.40 × 7,886.40
  4. Step 4: Simplify right side
    10,348.80x = 122,549,924.16
  5. Step 5: Solve for x
    x = 122,549,924.16/10,348.80
  6. Step 6: Final answer
    x = 11,841.95

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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.