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Finding the Fourth Proportional to 8,038.40, 12,058.40 and 2,772.71

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Solution

The fourth proportional to 8,038.40, 12,058.40 and 2,772.71 is: 4,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.40 : 12,058.40 = 2,772.71 : x
  2. Step 2: Convert to fraction form
    8,038.40/12,058.40 = 2,772.71/x
  3. Step 3: Cross multiply
    8,038.40x = 12,058.40 × 2,772.71
  4. Step 4: Simplify right side
    8,038.40x = 33,434,462.55
  5. Step 5: Solve for x
    x = 33,434,462.55/8,038.40
  6. Step 6: Final answer
    x = 4,159.35

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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.