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Finding the Fourth Proportional to 7,348.16, 11,012.16 and 3,878.48

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Solution

The fourth proportional to 7,348.16, 11,012.16 and 3,878.48 is: 5,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.16 : 11,012.16 = 3,878.48 : x
  2. Step 2: Convert to fraction form
    7,348.16/11,012.16 = 3,878.48/x
  3. Step 3: Cross multiply
    7,348.16x = 11,012.16 × 3,878.48
  4. Step 4: Simplify right side
    7,348.16x = 42,710,442.32
  5. Step 5: Solve for x
    x = 42,710,442.32/7,348.16
  6. Step 6: Final answer
    x = 5,812.40

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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.