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Finding the Fourth Proportional to 10,177.40, 14,018.52 and 7,188.04

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Solution

The fourth proportional to 10,177.40, 14,018.52 and 7,188.04 is: 9,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.40 : 14,018.52 = 7,188.04 : x
  2. Step 2: Convert to fraction form
    10,177.40/14,018.52 = 7,188.04/x
  3. Step 3: Cross multiply
    10,177.40x = 14,018.52 × 7,188.04
  4. Step 4: Simplify right side
    10,177.40x = 100,765,686.55
  5. Step 5: Solve for x
    x = 100,765,686.55/10,177.40
  6. Step 6: Final answer
    x = 9,900.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.