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Finding the Fourth Proportional to 10,574.51, 14,584.67 and 7,386.75

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Solution

The fourth proportional to 10,574.51, 14,584.67 and 7,386.75 is: 10,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.51 : 14,584.67 = 7,386.75 : x
  2. Step 2: Convert to fraction form
    10,574.51/14,584.67 = 7,386.75/x
  3. Step 3: Cross multiply
    10,574.51x = 14,584.67 × 7,386.75
  4. Step 4: Simplify right side
    10,574.51x = 107,733,274.19
  5. Step 5: Solve for x
    x = 107,733,274.19/10,574.51
  6. Step 6: Final answer
    x = 10,188.02

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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.