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Finding the Fourth Proportional to 10,132.18, 15,203.62 and 7,189.64

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Solution

The fourth proportional to 10,132.18, 15,203.62 and 7,189.64 is: 10,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.18 : 15,203.62 = 7,189.64 : x
  2. Step 2: Convert to fraction form
    10,132.18/15,203.62 = 7,189.64/x
  3. Step 3: Cross multiply
    10,132.18x = 15,203.62 × 7,189.64
  4. Step 4: Simplify right side
    10,132.18x = 109,308,534.46
  5. Step 5: Solve for x
    x = 109,308,534.46/10,132.18
  6. Step 6: Final answer
    x = 10,788.25

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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.