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Finding the Fourth Proportional to 10,534.40, 14,532.24 and 6,993.08

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Solution

The fourth proportional to 10,534.40, 14,532.24 and 6,993.08 is: 9,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.40 : 14,532.24 = 6,993.08 : x
  2. Step 2: Convert to fraction form
    10,534.40/14,532.24 = 6,993.08/x
  3. Step 3: Cross multiply
    10,534.40x = 14,532.24 × 6,993.08
  4. Step 4: Simplify right side
    10,534.40x = 101,625,116.90
  5. Step 5: Solve for x
    x = 101,625,116.90/10,534.40
  6. Step 6: Final answer
    x = 9,646.98

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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.