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Finding the Fourth Proportional to 7,412.58, 10,233.06 and 5,730.18

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Solution

The fourth proportional to 7,412.58, 10,233.06 and 5,730.18 is: 7,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.58 : 10,233.06 = 5,730.18 : x
  2. Step 2: Convert to fraction form
    7,412.58/10,233.06 = 5,730.18/x
  3. Step 3: Cross multiply
    7,412.58x = 10,233.06 × 5,730.18
  4. Step 4: Simplify right side
    7,412.58x = 58,637,275.75
  5. Step 5: Solve for x
    x = 58,637,275.75/7,412.58
  6. Step 6: Final answer
    x = 7,910.51

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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.