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Finding the Fourth Proportional to 11,335.16, 15,657.39 and 7,792.22

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Solution

The fourth proportional to 11,335.16, 15,657.39 and 7,792.22 is: 10,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335.16 : 15,657.39 = 7,792.22 : x
  2. Step 2: Convert to fraction form
    11,335.16/15,657.39 = 7,792.22/x
  3. Step 3: Cross multiply
    11,335.16x = 15,657.39 × 7,792.22
  4. Step 4: Simplify right side
    11,335.16x = 122,005,827.51
  5. Step 5: Solve for x
    x = 122,005,827.51/11,335.16
  6. Step 6: Final answer
    x = 10,763.49

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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.