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Finding the Fourth Proportional to 10,497.94, 14,487.15 and 5,783.13

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Solution

The fourth proportional to 10,497.94, 14,487.15 and 5,783.13 is: 7,980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.94 : 14,487.15 = 5,783.13 : x
  2. Step 2: Convert to fraction form
    10,497.94/14,487.15 = 5,783.13/x
  3. Step 3: Cross multiply
    10,497.94x = 14,487.15 × 5,783.13
  4. Step 4: Simplify right side
    10,497.94x = 83,781,093.47
  5. Step 5: Solve for x
    x = 83,781,093.47/10,497.94
  6. Step 6: Final answer
    x = 7,980.72

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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.