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Finding the Fourth Proportional to 6,875.47, 10,313.80 and 2,196.14

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Solution

The fourth proportional to 6,875.47, 10,313.80 and 2,196.14 is: 3,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.47 : 10,313.80 = 2,196.14 : x
  2. Step 2: Convert to fraction form
    6,875.47/10,313.80 = 2,196.14/x
  3. Step 3: Cross multiply
    6,875.47x = 10,313.80 × 2,196.14
  4. Step 4: Simplify right side
    6,875.47x = 22,650,569.03
  5. Step 5: Solve for x
    x = 22,650,569.03/6,875.47
  6. Step 6: Final answer
    x = 3,294.40

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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.