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Finding the Fourth Proportional to 10,489.76, 14,468.50 and 6,903.58

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Solution

The fourth proportional to 10,489.76, 14,468.50 and 6,903.58 is: 9,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.76 : 14,468.50 = 6,903.58 : x
  2. Step 2: Convert to fraction form
    10,489.76/14,468.50 = 6,903.58/x
  3. Step 3: Cross multiply
    10,489.76x = 14,468.50 × 6,903.58
  4. Step 4: Simplify right side
    10,489.76x = 99,884,340.37
  5. Step 5: Solve for x
    x = 99,884,340.37/10,489.76
  6. Step 6: Final answer
    x = 9,522.08

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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.