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Finding the Fourth Proportional to 10,046.07, 13,863.15 and 5,570.01

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Solution

The fourth proportional to 10,046.07, 13,863.15 and 5,570.01 is: 7,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.07 : 13,863.15 = 5,570.01 : x
  2. Step 2: Convert to fraction form
    10,046.07/13,863.15 = 5,570.01/x
  3. Step 3: Cross multiply
    10,046.07x = 13,863.15 × 5,570.01
  4. Step 4: Simplify right side
    10,046.07x = 77,217,884.13
  5. Step 5: Solve for x
    x = 77,217,884.13/10,046.07
  6. Step 6: Final answer
    x = 7,686.38

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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.