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Finding the Fourth Proportional to 10,512.59, 14,496.06 and 10,357.47

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Solution

The fourth proportional to 10,512.59, 14,496.06 and 10,357.47 is: 14,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.59 : 14,496.06 = 10,357.47 : x
  2. Step 2: Convert to fraction form
    10,512.59/14,496.06 = 10,357.47/x
  3. Step 3: Cross multiply
    10,512.59x = 14,496.06 × 10,357.47
  4. Step 4: Simplify right side
    10,512.59x = 150,142,545.41
  5. Step 5: Solve for x
    x = 150,142,545.41/10,512.59
  6. Step 6: Final answer
    x = 14,282.17

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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.