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Finding the Fourth Proportional to 11,314.47, 15,624.47 and 7,288.29

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Solution

The fourth proportional to 11,314.47, 15,624.47 and 7,288.29 is: 10,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.47 : 15,624.47 = 7,288.29 : x
  2. Step 2: Convert to fraction form
    11,314.47/15,624.47 = 7,288.29/x
  3. Step 3: Cross multiply
    11,314.47x = 15,624.47 × 7,288.29
  4. Step 4: Simplify right side
    11,314.47x = 113,875,707.52
  5. Step 5: Solve for x
    x = 113,875,707.52/11,314.47
  6. Step 6: Final answer
    x = 10,064.61

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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.