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Finding the Fourth Proportional to 11,750.71, 17,602.57 and 7,068.13

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Solution

The fourth proportional to 11,750.71, 17,602.57 and 7,068.13 is: 10,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.71 : 17,602.57 = 7,068.13 : x
  2. Step 2: Convert to fraction form
    11,750.71/17,602.57 = 7,068.13/x
  3. Step 3: Cross multiply
    11,750.71x = 17,602.57 × 7,068.13
  4. Step 4: Simplify right side
    11,750.71x = 124,417,217.75
  5. Step 5: Solve for x
    x = 124,417,217.75/11,750.71
  6. Step 6: Final answer
    x = 10,588.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.