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Finding the Fourth Proportional to 8,897.64, 12,284.43 and 5,712.30

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Solution

The fourth proportional to 8,897.64, 12,284.43 and 5,712.30 is: 7,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.64 : 12,284.43 = 5,712.30 : x
  2. Step 2: Convert to fraction form
    8,897.64/12,284.43 = 5,712.30/x
  3. Step 3: Cross multiply
    8,897.64x = 12,284.43 × 5,712.30
  4. Step 4: Simplify right side
    8,897.64x = 70,172,349.49
  5. Step 5: Solve for x
    x = 70,172,349.49/8,897.64
  6. Step 6: Final answer
    x = 7,886.62

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