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Finding the Fourth Proportional to 10,289.60, 15,430.80 and 5,357.60

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Solution

The fourth proportional to 10,289.60, 15,430.80 and 5,357.60 is: 8,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.60 : 15,430.80 = 5,357.60 : x
  2. Step 2: Convert to fraction form
    10,289.60/15,430.80 = 5,357.60/x
  3. Step 3: Cross multiply
    10,289.60x = 15,430.80 × 5,357.60
  4. Step 4: Simplify right side
    10,289.60x = 82,672,054.08
  5. Step 5: Solve for x
    x = 82,672,054.08/10,289.60
  6. Step 6: Final answer
    x = 8,034.53

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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.