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Finding the Fourth Proportional to 8,426, 11,627.88 and 4,700

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Solution

The fourth proportional to 8,426, 11,627.88 and 4,700 is: 6,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426 : 11,627.88 = 4,700 : x
  2. Step 2: Convert to fraction form
    8,426/11,627.88 = 4,700/x
  3. Step 3: Cross multiply
    8,426x = 11,627.88 × 4,700
  4. Step 4: Simplify right side
    8,426x = 54,651,036.00
  5. Step 5: Solve for x
    x = 54,651,036.00/8,426
  6. Step 6: Final answer
    x = 6,486.00

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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.