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Finding the Fourth Proportional to 10,603.71, 14,633.19 and 5,888.07

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Solution

The fourth proportional to 10,603.71, 14,633.19 and 5,888.07 is: 8,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.71 : 14,633.19 = 5,888.07 : x
  2. Step 2: Convert to fraction form
    10,603.71/14,633.19 = 5,888.07/x
  3. Step 3: Cross multiply
    10,603.71x = 14,633.19 × 5,888.07
  4. Step 4: Simplify right side
    10,603.71x = 86,161,247.04
  5. Step 5: Solve for x
    x = 86,161,247.04/10,603.71
  6. Step 6: Final answer
    x = 8,125.58

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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.