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Finding the Fourth Proportional to 10,623.56, 14,657.90 and 6,146.01

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Solution

The fourth proportional to 10,623.56, 14,657.90 and 6,146.01 is: 8,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.56 : 14,657.90 = 6,146.01 : x
  2. Step 2: Convert to fraction form
    10,623.56/14,657.90 = 6,146.01/x
  3. Step 3: Cross multiply
    10,623.56x = 14,657.90 × 6,146.01
  4. Step 4: Simplify right side
    10,623.56x = 90,087,569.25
  5. Step 5: Solve for x
    x = 90,087,569.25/10,623.56
  6. Step 6: Final answer
    x = 8,479.98

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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.