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Finding the Fourth Proportional to 10,912.40, 15,056.80 and 7,549.84

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Solution

The fourth proportional to 10,912.40, 15,056.80 and 7,549.84 is: 10,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.40 : 15,056.80 = 7,549.84 : x
  2. Step 2: Convert to fraction form
    10,912.40/15,056.80 = 7,549.84/x
  3. Step 3: Cross multiply
    10,912.40x = 15,056.80 × 7,549.84
  4. Step 4: Simplify right side
    10,912.40x = 113,676,430.91
  5. Step 5: Solve for x
    x = 113,676,430.91/10,912.40
  6. Step 6: Final answer
    x = 10,417.18

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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.