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Finding the Fourth Proportional to 13,134.10, 18,130.90 and 7,830.76

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Solution

The fourth proportional to 13,134.10, 18,130.90 and 7,830.76 is: 10,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.10 : 18,130.90 = 7,830.76 : x
  2. Step 2: Convert to fraction form
    13,134.10/18,130.90 = 7,830.76/x
  3. Step 3: Cross multiply
    13,134.10x = 18,130.90 × 7,830.76
  4. Step 4: Simplify right side
    13,134.10x = 141,978,726.48
  5. Step 5: Solve for x
    x = 141,978,726.48/13,134.10
  6. Step 6: Final answer
    x = 10,809.93

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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.