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Finding the Fourth Proportional to 10,009.60, 15,012.80 and 4,165.28

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Solution

The fourth proportional to 10,009.60, 15,012.80 and 4,165.28 is: 6,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.60 : 15,012.80 = 4,165.28 : x
  2. Step 2: Convert to fraction form
    10,009.60/15,012.80 = 4,165.28/x
  3. Step 3: Cross multiply
    10,009.60x = 15,012.80 × 4,165.28
  4. Step 4: Simplify right side
    10,009.60x = 62,532,515.58
  5. Step 5: Solve for x
    x = 62,532,515.58/10,009.60
  6. Step 6: Final answer
    x = 6,247.25

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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.