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Finding the Fourth Proportional to 10,494.68, 14,478.10 and 6,300.52

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Solution

The fourth proportional to 10,494.68, 14,478.10 and 6,300.52 is: 8,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.68 : 14,478.10 = 6,300.52 : x
  2. Step 2: Convert to fraction form
    10,494.68/14,478.10 = 6,300.52/x
  3. Step 3: Cross multiply
    10,494.68x = 14,478.10 × 6,300.52
  4. Step 4: Simplify right side
    10,494.68x = 91,219,558.61
  5. Step 5: Solve for x
    x = 91,219,558.61/10,494.68
  6. Step 6: Final answer
    x = 8,691.98

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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.