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Finding the Fourth Proportional to 10,574.64, 15,867.36 and 4,731.84

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Solution

The fourth proportional to 10,574.64, 15,867.36 and 4,731.84 is: 7,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.64 : 15,867.36 = 4,731.84 : x
  2. Step 2: Convert to fraction form
    10,574.64/15,867.36 = 4,731.84/x
  3. Step 3: Cross multiply
    10,574.64x = 15,867.36 × 4,731.84
  4. Step 4: Simplify right side
    10,574.64x = 75,081,808.74
  5. Step 5: Solve for x
    x = 75,081,808.74/10,574.64
  6. Step 6: Final answer
    x = 7,100.18

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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.