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Finding the Fourth Proportional to 10,497.51, 14,486.58 and 5,781.69

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Solution

The fourth proportional to 10,497.51, 14,486.58 and 5,781.69 is: 7,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.51 : 14,486.58 = 5,781.69 : x
  2. Step 2: Convert to fraction form
    10,497.51/14,486.58 = 5,781.69/x
  3. Step 3: Cross multiply
    10,497.51x = 14,486.58 × 5,781.69
  4. Step 4: Simplify right side
    10,497.51x = 83,756,914.72
  5. Step 5: Solve for x
    x = 83,756,914.72/10,497.51
  6. Step 6: Final answer
    x = 7,978.74

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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.