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Finding the Fourth Proportional to 10,275.60, 15,427.80 and 6,387.60

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Solution

The fourth proportional to 10,275.60, 15,427.80 and 6,387.60 is: 9,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.60 : 15,427.80 = 6,387.60 : x
  2. Step 2: Convert to fraction form
    10,275.60/15,427.80 = 6,387.60/x
  3. Step 3: Cross multiply
    10,275.60x = 15,427.80 × 6,387.60
  4. Step 4: Simplify right side
    10,275.60x = 98,546,615.28
  5. Step 5: Solve for x
    x = 98,546,615.28/10,275.60
  6. Step 6: Final answer
    x = 9,590.35

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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.