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Finding the Fourth Proportional to 10,091.76, 13,925.16 and 5,615.16

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Solution

The fourth proportional to 10,091.76, 13,925.16 and 5,615.16 is: 7,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.76 : 13,925.16 = 5,615.16 : x
  2. Step 2: Convert to fraction form
    10,091.76/13,925.16 = 5,615.16/x
  3. Step 3: Cross multiply
    10,091.76x = 13,925.16 × 5,615.16
  4. Step 4: Simplify right side
    10,091.76x = 78,192,001.43
  5. Step 5: Solve for x
    x = 78,192,001.43/10,091.76
  6. Step 6: Final answer
    x = 7,748.10

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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.