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Finding the Fourth Proportional to 8,547.40, 11,937.20 and 8,547.40

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Solution

The fourth proportional to 8,547.40, 11,937.20 and 8,547.40 is: 11,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.40 : 11,937.20 = 8,547.40 : x
  2. Step 2: Convert to fraction form
    8,547.40/11,937.20 = 8,547.40/x
  3. Step 3: Cross multiply
    8,547.40x = 11,937.20 × 8,547.40
  4. Step 4: Simplify right side
    8,547.40x = 102,032,023.28
  5. Step 5: Solve for x
    x = 102,032,023.28/8,547.40
  6. Step 6: Final answer
    x = 11,937.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.