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Finding the Fourth Proportional to 10,188.55, 15,260.25 and 7,831.20

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Solution

The fourth proportional to 10,188.55, 15,260.25 and 7,831.20 is: 11,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.55 : 15,260.25 = 7,831.20 : x
  2. Step 2: Convert to fraction form
    10,188.55/15,260.25 = 7,831.20/x
  3. Step 3: Cross multiply
    10,188.55x = 15,260.25 × 7,831.20
  4. Step 4: Simplify right side
    10,188.55x = 119,506,026.50
  5. Step 5: Solve for x
    x = 119,506,026.50/10,188.55
  6. Step 6: Final answer
    x = 11,729.44

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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.