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Finding the Fourth Proportional to 11,288.16, 15,578.60 and 6,572.16

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Solution

The fourth proportional to 11,288.16, 15,578.60 and 6,572.16 is: 9,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.16 : 15,578.60 = 6,572.16 : x
  2. Step 2: Convert to fraction form
    11,288.16/15,578.60 = 6,572.16/x
  3. Step 3: Cross multiply
    11,288.16x = 15,578.60 × 6,572.16
  4. Step 4: Simplify right side
    11,288.16x = 102,385,051.78
  5. Step 5: Solve for x
    x = 102,385,051.78/11,288.16
  6. Step 6: Final answer
    x = 9,070.13

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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.