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Finding the Fourth Proportional to 10,642.86, 15,953.49 and 5,088.06

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Solution

The fourth proportional to 10,642.86, 15,953.49 and 5,088.06 is: 7,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.86 : 15,953.49 = 5,088.06 : x
  2. Step 2: Convert to fraction form
    10,642.86/15,953.49 = 5,088.06/x
  3. Step 3: Cross multiply
    10,642.86x = 15,953.49 × 5,088.06
  4. Step 4: Simplify right side
    10,642.86x = 81,172,314.33
  5. Step 5: Solve for x
    x = 81,172,314.33/10,642.86
  6. Step 6: Final answer
    x = 7,626.93

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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.