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Finding the Fourth Proportional to 10,244.16, 15,374.88 and 5,055.84

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Solution

The fourth proportional to 10,244.16, 15,374.88 and 5,055.84 is: 7,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.16 : 15,374.88 = 5,055.84 : x
  2. Step 2: Convert to fraction form
    10,244.16/15,374.88 = 5,055.84/x
  3. Step 3: Cross multiply
    10,244.16x = 15,374.88 × 5,055.84
  4. Step 4: Simplify right side
    10,244.16x = 77,732,933.30
  5. Step 5: Solve for x
    x = 77,732,933.30/10,244.16
  6. Step 6: Final answer
    x = 7,588.02

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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.