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Finding the Fourth Proportional to 10,061.72, 13,884.54 and 5,585.22

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Solution

The fourth proportional to 10,061.72, 13,884.54 and 5,585.22 is: 7,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.72 : 13,884.54 = 5,585.22 : x
  2. Step 2: Convert to fraction form
    10,061.72/13,884.54 = 5,585.22/x
  3. Step 3: Cross multiply
    10,061.72x = 13,884.54 × 5,585.22
  4. Step 4: Simplify right side
    10,061.72x = 77,548,210.50
  5. Step 5: Solve for x
    x = 77,548,210.50/10,061.72
  6. Step 6: Final answer
    x = 7,707.25

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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.