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Finding the Fourth Proportional to 7,931.40, 10,949.82 and 5,417.16

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Solution

The fourth proportional to 7,931.40, 10,949.82 and 5,417.16 is: 7,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.40 : 10,949.82 = 5,417.16 : x
  2. Step 2: Convert to fraction form
    7,931.40/10,949.82 = 5,417.16/x
  3. Step 3: Cross multiply
    7,931.40x = 10,949.82 × 5,417.16
  4. Step 4: Simplify right side
    7,931.40x = 59,316,926.91
  5. Step 5: Solve for x
    x = 59,316,926.91/7,931.40
  6. Step 6: Final answer
    x = 7,478.75

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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.