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Finding the Fourth Proportional to 10,259.98, 14,158.94 and 5,783.95

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Solution

The fourth proportional to 10,259.98, 14,158.94 and 5,783.95 is: 7,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.98 : 14,158.94 = 5,783.95 : x
  2. Step 2: Convert to fraction form
    10,259.98/14,158.94 = 5,783.95/x
  3. Step 3: Cross multiply
    10,259.98x = 14,158.94 × 5,783.95
  4. Step 4: Simplify right side
    10,259.98x = 81,894,589.79
  5. Step 5: Solve for x
    x = 81,894,589.79/10,259.98
  6. Step 6: Final answer
    x = 7,981.95

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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.