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Finding the Fourth Proportional to 10,088.66, 13,921.91 and 5,612.06

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Solution

The fourth proportional to 10,088.66, 13,921.91 and 5,612.06 is: 7,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.66 : 13,921.91 = 5,612.06 : x
  2. Step 2: Convert to fraction form
    10,088.66/13,921.91 = 5,612.06/x
  3. Step 3: Cross multiply
    10,088.66x = 13,921.91 × 5,612.06
  4. Step 4: Simplify right side
    10,088.66x = 78,130,566.17
  5. Step 5: Solve for x
    x = 78,130,566.17/10,088.66
  6. Step 6: Final answer
    x = 7,744.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.