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Finding the Fourth Proportional to 7,948.16, 10,968.98 and 4,411.40

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Solution

The fourth proportional to 7,948.16, 10,968.98 and 4,411.40 is: 6,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.16 : 10,968.98 = 4,411.40 : x
  2. Step 2: Convert to fraction form
    7,948.16/10,968.98 = 4,411.40/x
  3. Step 3: Cross multiply
    7,948.16x = 10,968.98 × 4,411.40
  4. Step 4: Simplify right side
    7,948.16x = 48,388,558.37
  5. Step 5: Solve for x
    x = 48,388,558.37/7,948.16
  6. Step 6: Final answer
    x = 6,088.02

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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.