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Finding the Fourth Proportional to 10,166.64, 15,259.59 and 5,239.68

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Solution

The fourth proportional to 10,166.64, 15,259.59 and 5,239.68 is: 7,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.64 : 15,259.59 = 5,239.68 : x
  2. Step 2: Convert to fraction form
    10,166.64/15,259.59 = 5,239.68/x
  3. Step 3: Cross multiply
    10,166.64x = 15,259.59 × 5,239.68
  4. Step 4: Simplify right side
    10,166.64x = 79,955,368.53
  5. Step 5: Solve for x
    x = 79,955,368.53/10,166.64
  6. Step 6: Final answer
    x = 7,864.48

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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.