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Finding the Fourth Proportional to 10,803.95, 14,909.35 and 6,023.83

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Solution

The fourth proportional to 10,803.95, 14,909.35 and 6,023.83 is: 8,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.95 : 14,909.35 = 6,023.83 : x
  2. Step 2: Convert to fraction form
    10,803.95/14,909.35 = 6,023.83/x
  3. Step 3: Cross multiply
    10,803.95x = 14,909.35 × 6,023.83
  4. Step 4: Simplify right side
    10,803.95x = 89,811,389.81
  5. Step 5: Solve for x
    x = 89,811,389.81/10,803.95
  6. Step 6: Final answer
    x = 8,312.83

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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.