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Finding the Fourth Proportional to 11,547.51, 15,935.55 and 6,242.31

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Solution

The fourth proportional to 11,547.51, 15,935.55 and 6,242.31 is: 8,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.51 : 15,935.55 = 6,242.31 : x
  2. Step 2: Convert to fraction form
    11,547.51/15,935.55 = 6,242.31/x
  3. Step 3: Cross multiply
    11,547.51x = 15,935.55 × 6,242.31
  4. Step 4: Simplify right side
    11,547.51x = 99,474,643.12
  5. Step 5: Solve for x
    x = 99,474,643.12/11,547.51
  6. Step 6: Final answer
    x = 8,614.38

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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.