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Finding the Fourth Proportional to 7,772.40, 10,726.04 and 4,235.68

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Solution

The fourth proportional to 7,772.40, 10,726.04 and 4,235.68 is: 5,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.40 : 10,726.04 = 4,235.68 : x
  2. Step 2: Convert to fraction form
    7,772.40/10,726.04 = 4,235.68/x
  3. Step 3: Cross multiply
    7,772.40x = 10,726.04 × 4,235.68
  4. Step 4: Simplify right side
    7,772.40x = 45,432,073.11
  5. Step 5: Solve for x
    x = 45,432,073.11/7,772.40
  6. Step 6: Final answer
    x = 5,845.31

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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.