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Finding the Fourth Proportional to 11,430.84, 15,765.83 and 9,840.10

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Solution

The fourth proportional to 11,430.84, 15,765.83 and 9,840.10 is: 13,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.84 : 15,765.83 = 9,840.10 : x
  2. Step 2: Convert to fraction form
    11,430.84/15,765.83 = 9,840.10/x
  3. Step 3: Cross multiply
    11,430.84x = 15,765.83 × 9,840.10
  4. Step 4: Simplify right side
    11,430.84x = 155,137,343.78
  5. Step 5: Solve for x
    x = 155,137,343.78/11,430.84
  6. Step 6: Final answer
    x = 13,571.82

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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.