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Finding the Fourth Proportional to 11,128.32, 15,356.88 and 6,412.16

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Solution

The fourth proportional to 11,128.32, 15,356.88 and 6,412.16 is: 8,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,128.32 : 15,356.88 = 6,412.16 : x
  2. Step 2: Convert to fraction form
    11,128.32/15,356.88 = 6,412.16/x
  3. Step 3: Cross multiply
    11,128.32x = 15,356.88 × 6,412.16
  4. Step 4: Simplify right side
    11,128.32x = 98,470,771.66
  5. Step 5: Solve for x
    x = 98,470,771.66/11,128.32
  6. Step 6: Final answer
    x = 8,848.66

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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.