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Finding the Fourth Proportional to 10,298.40, 14,217.06 and 6,525.48

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Solution

The fourth proportional to 10,298.40, 14,217.06 and 6,525.48 is: 9,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.40 : 14,217.06 = 6,525.48 : x
  2. Step 2: Convert to fraction form
    10,298.40/14,217.06 = 6,525.48/x
  3. Step 3: Cross multiply
    10,298.40x = 14,217.06 × 6,525.48
  4. Step 4: Simplify right side
    10,298.40x = 92,773,140.69
  5. Step 5: Solve for x
    x = 92,773,140.69/10,298.40
  6. Step 6: Final answer
    x = 9,008.50

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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.