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Finding the Fourth Proportional to 8,038.98, 12,058.47 and 4,877.21

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Solution

The fourth proportional to 8,038.98, 12,058.47 and 4,877.21 is: 7,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.98 : 12,058.47 = 4,877.21 : x
  2. Step 2: Convert to fraction form
    8,038.98/12,058.47 = 4,877.21/x
  3. Step 3: Cross multiply
    8,038.98x = 12,058.47 × 4,877.21
  4. Step 4: Simplify right side
    8,038.98x = 58,811,720.61
  5. Step 5: Solve for x
    x = 58,811,720.61/8,038.98
  6. Step 6: Final answer
    x = 7,315.82

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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.