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Finding the Fourth Proportional to 10,497.54, 14,486.40 and 5,781.72

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Solution

The fourth proportional to 10,497.54, 14,486.40 and 5,781.72 is: 7,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.54 : 14,486.40 = 5,781.72 : x
  2. Step 2: Convert to fraction form
    10,497.54/14,486.40 = 5,781.72/x
  3. Step 3: Cross multiply
    10,497.54x = 14,486.40 × 5,781.72
  4. Step 4: Simplify right side
    10,497.54x = 83,756,308.61
  5. Step 5: Solve for x
    x = 83,756,308.61/10,497.54
  6. Step 6: Final answer
    x = 7,978.66

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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.