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Finding the Fourth Proportional to 10,353.32, 14,287.98 and 6,164.00

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Solution

The fourth proportional to 10,353.32, 14,287.98 and 6,164.00 is: 8,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.32 : 14,287.98 = 6,164.00 : x
  2. Step 2: Convert to fraction form
    10,353.32/14,287.98 = 6,164.00/x
  3. Step 3: Cross multiply
    10,353.32x = 14,287.98 × 6,164.00
  4. Step 4: Simplify right side
    10,353.32x = 88,071,006.46
  5. Step 5: Solve for x
    x = 88,071,006.46/10,353.32
  6. Step 6: Final answer
    x = 8,506.55

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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.