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Finding the Fourth Proportional to 10,503.32, 14,494.01 and 6,524.36

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Solution

The fourth proportional to 10,503.32, 14,494.01 and 6,524.36 is: 9,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.32 : 14,494.01 = 6,524.36 : x
  2. Step 2: Convert to fraction form
    10,503.32/14,494.01 = 6,524.36/x
  3. Step 3: Cross multiply
    10,503.32x = 14,494.01 × 6,524.36
  4. Step 4: Simplify right side
    10,503.32x = 94,564,191.63
  5. Step 5: Solve for x
    x = 94,564,191.63/10,503.32
  6. Step 6: Final answer
    x = 9,003.26

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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.